1. Impulse hyperbolic partial differential equation oscillation higher order Laplace operator.

2. Multielement function calculus, infinite series , ordinary differential equation, partial derivatives, multiple integrals and so on.

3. The direct integral formula of high order linear differential equation with constant coefficients is given.

4. A contour extraction method based on general partial differential equation (PDE) of curve evolution is proposed.

5. The differential equation for buckling of tubulars in horizontal holes under axial loads and the two end conditions that the equation should be satisfied are derived by energy variation principle.

6. This paper presents a novel algorithm for solving differential equation of distance protection which adopts an adaptive window length based on noise level control.

7. It is well known that for functional differential equation with finite delay, its phase space always structured by continuous function together with supremum norm.

8. For illustration, an example of a quasi-linear parabolic differential equation and corresponding to optimal control problem is also discussed.

9. Using method of qualitative theory of ordinary differential equation, studies economic harvesting model with variable price and cost for a single population.

10. The algorithm for the ordinary differential equation of first order to figure out its singular solution.

11. Finally, the solution to linear differential equation that can be changed into the one with constant coefficients is explained through examples.

12. Typically, such a plant's behaviour can be described by a differential equation which depends on coefficients.

13. Using the annual data from 1980 to 2002 the parameters of the differential equation were estimated.

14. The existence problem for a class of nonlinear retarded functional differential equation is researched.

15. The mathematical essence of damped oscillation is researched with the qualitative theory of differential equation from the odd characters of the plane autonomous system.

16. This paper presents an optimization method for solving the boundary value question of a differential equation on the basis of the trial-and-error method and the optimization method.

17. On the basis of a model, the relationship between the attenuation coefficient and the propagation distance can he deduced by solving a differential equation.

18. This is a probability problem, called it probability differential model because it's solved by differential equation.

19. The analytical solutions for these reactor models are shown to agree very well with the numerical solutions to the exact differential equation...

20. This equation can be resolved into two parts, one second order partial differential equation and a pair of complex conjugate fourth order partial differential equations.

21. According to the diffusibility of the photons transmission, numerical solution of photon transmission partial differential equation was deduced with finite element.

22. By means of the theory of coincide degree, some results on the existence of periodic solutions for a kind of high order neutral functional differential equation are obtained.

23. It also has its physical significance. Kepler equation is an integral of differential equation set. The introduction of assistant quantity E leads to the simplification of mathematic expression.

24. We have proved that difference equation is compatible with partial differential equation and the algorithm is countably stable in our case.

25. We obtain sufficient conditions for the oscillation of all solutions of the nonlinear high order neutral functional differential equation with continuous deviating arguments.

26. In this paper, we consider the oscillatory properties of neutral linear variable functional differential equation with piecewise constant delays.

27. The shape of the elastic curve of the buckled bar is the solution of the exact differential equation of the curvature.

28. Two new examples are given for the linearization of nonlinear partial differential equation by the hodograph transformation.

29. The paper proposes a method which corrects the angle of zero-sequence current in the algorithm of differential equation used for distance protection and fault location of HV transmission lines.

30. The present paper deals with the uniform boundness and the ended uniform boundness of solutions for a nonlinear functional differential equation by using Lyapunov method.

31. The theory of automorphic function is the result of the intersection of geometry, algebra, complex analysis and differential equation, which manifest the unity of mathematics.

32. This paper analyzes the load which causes the deformation of sucker rod string in a rod pumping well, and establishes the differential equation of bending and gives a power series solution.

33. Two types of new Abel differential equation are structured by method of variation replacement, variation position transformation and compound function derivation law.

34. Sufficient conditions are obtained for oscillation of solutions of a class nonlinear delay systems of hyperbolic partial differential equation.

35. According to the principle of conservation,[http:///differential equation.html] differential equation which can describe airflow temperature distribution in state of turbulent flow in mine working face is deduced.

36. The motion of plunger of oleo damper excited by colored Gaussian noise with exponential correlation time is governed by first order nonlinear differential equation.

37. The differential equation for the vibration of the riser system is derived by means of functional calculus of variation.

38. Through the medium of walsh transform, the logical differential equation can be transformed into algebraic equation.

39. By using the approximate method, the solution to the nonlinear differential equation which governs the ship motion in regular beam sea is attained.

40. Starting from the wave differential equation, a method is deduced to express the complex amplitude of light wave fields in the reference plane which is vertical to the optical axis.

41. Considered terrain condition, a mathematical model of droplet random splash was proposed, and the corresponding differential equation was set up and worked out by Runge-Kutta and Monte-Carlo method.

42. For the first time, a hydrogen line density concept is proposed, and the controlling differential equation of the hydrogen line density and hydroxide ion are established.

43. Theories and technologies of live line measurement have appeared, including the interference method, the incremental method, the differential equation method and the integral equation method.

44. Based on the continuity equation of ground water and the variation principle, the seepage differential equation can be acquired.

45. The second-order differential equation including elliptic integral is numerically solved by integral, and the non-linear oscillation of a charged point in a uniformly charged ring is discussed.

46. The earliest partial differential equation problem was introduced in mechanics, geometry and physics.

47. A transfer matrix differential equation is derived from the three-dimensional equilibrium equations and constitutive equations of a homogeneous, isotropic linear elastic body.

48. According to the principle of conservation, differential equation which can describe disturbance flow and temperature distribution law of airflow of excavation roadway is a educed .

49. The text studies the control law of inventory by using stochastic process, stochastic differential equation and control theory, and establishes a model which tallies with the actual inventory system.

50. In this paper, we investigate the problem of the convergence of zeros of the solution of higher order linear differential equation to small order of growth function.

51. The effects of the transverse distorsion of suspended structures are considered in this paper, and fundamental differential equation of torsion for suspension bridges is derived.

52. According to coupled wave theory, and from the non-linear differential equation describing characteristics of reflection hologram, the reflective coefficient of reflection hologram is analyzed.

53. The theorem that a kind of fourth order linear differential equation with variable coefficients can be changed into fourth order linear differential equations with constant coefficients is deduced.

54. In this paper, the principal growth equation for continuous compounding interest is derived from an ordinary differential equation, offering a new perspective for the derivation of the equation.

55. In the time domain analysis of dynamic circuit, the initial state must be first known when the differential equation or state equation will be solved.

56. The analytical truncation error formulas of a partial differential equation are given for the upstream scheme and the centered difference scheme, respectively.

57. Differential equation and probability limit theorem have been widely used in the mathematical model of biological population growth.

58. Many problems of dynamical systems can be reduced to an iterative functional equation or an iterative functional differential equation.

59. Forward rate dynamics are modeled as sum of a drift and a random field, which is a solution to a wave-typed stochastic partial differential equation.

60. The differential model not has model error. Solving the differential equation has rounding error.

61. Som criteria on the asymptotic behavior (such as boundness, tending to zero) of solutions for a kind of third order delay functional differential equation are established.

62. In this paper, the identification problem of stochastic multivariable continuous-time system which is described by a stochastic vector differential equation is discussed.

63. The mathematical deduction and confirmation of the algorithm are introduced in the paper, which is a powerfully effective one for solving the quaternion matrix differential equation.

64. The method of undetermined coefficients is the general method of solving a linear differential equation with constant coefficients of the second order.

65. The fist integration is mainly used tO form the initial value solution of fist order quasi-linear partial differential equation.

66. Liner invariant co-effect non-homogenous differential equation is the mathematical model of LTI continuous system.

67. Equilibrium differential equation and boundary condition were deduced first, adopting variation principle[ ], and then the analytic generic solution of the deflection of dowel steel was obtained.

68. Method The relationship between perfusion parameter and UCA bubble concentration in imaging plane was described by stochastic differential equation.

69. The continuum equation and kinematics differential equation composed the dynamic model of mixed traffic flow.

70. This example demonstrates the use of lsode, an ordinary differential equation solver.

71. This article derives the general solution of linear differential equation with constant coefficient changing . Besides, some differential equation is resolved with the method employed by this paper.

72. Soon after, Leonhard Euler (1707–1783) published a partial differential equation for the vibrational modes in a stretched string.

73. A differential equation that is generally effective for squeeze film air damping of perforated plate and non perforated plate as well as in MEMS devices is developed.

74. Wavelet and Partial Differential Equation ( PDE ) are the main methods in removing image noise.

75. Control differential equation of curve problem of variable-thickness cylindrical shell is deduced with cell theory of variable-thickness shell.

76. In this paper, the numerical solution is got through analyzing the direct extrusion procedure theoretically, that can describe the differential equation of metal flowing accurately.

77. The boundary value ( problems ( BVP ) ) of the higher order ordinary differential equation were studied.

78. The forced vibration of pendulum is described by four-dimensional phase space and the fourth order autonomous ordinary differential equation.

79. By means of dual variation method and deviation method, this paper gives one kind of four order nonlinear differential equation and sufficient conditions for some kind of solutions.

80. An effective method for solving a partial differential equation of secondary hydrocarbon migration is put forward.

81. In This paper, linear steady analysis is Made from The solution of non—linear differential equation and luther, The situation of steady state or non—steady state is discussed.

82. Using DF (Describing Function) in determining the limit cycle number of differential equation is a significant analysis try.

83. It takes neither differential equation nor Laplace transformation. Instead , some algebraic Methods: Will do.

84. In this paper , we discuss and replenish Liouville formula of linear differential equation.

85. Two sets of algebraically explicit analytical solution are derived for the partial differential equation set describing the one-dimensional unsteady gas-liquid two-phase flow.

86. A delay dependent stability criterion for a class of linear large scale time varying system is deduced by employing matrix differential equation theorem and matrix exponential properties.

87. Based on Fermat Theory, this paper sets up the differential equation of the ray track in the atmosphere, and explains the mirage phenomenon.

88. This paper deals with the formula of particular solution to 2-order linear inhomogeneous differential equation with constant coefficients.

89. A differential equation for calculating squeeze-film air damping in slotted plates is developed by modifying the Reynolds equation.

90. This thesis summarizes the methods of linear differential equation group.

91. In this paper, a differential equation of describing the lateral distribution of depth averaged velocity is obtained by simplifying 2D shallow water equations of open channel flow.

92. The dynamic stress in helical spring has been analyzed with a spatial mechanical model for bent lever and an analytic solution for the partial differential equation has been found.

93. The application of linear differential equation group is rather widespread in many domains, such as physics chemistry and so on.

94. The integro - differential equation and the explicit expression for the ruin probability are derived.

95. The Ф p for the sinusoidal loading is found by returning to the basic differential equation.

96. According to the variation of magnetic energy,[] differential equation of dual resonance was gotten by means of calculus of variation in this paper.

97. The relative viscosity hypothesis is put forward and introduced in Euler's equation to establish viscosity momentum differential equation.

98. The oscillation and asymptotic behaviors of three order nonlinear functional differential equation with impulses are investigated, and some sufficient conditions are obtained.

99. In order to study the slip between rebar and concrete, the fundamental equations are analyzed and the 2nd order differential equation of the relation between bond stress and local slip are obtained.

100. This paper derived a non-Linear function relationship between the cardiac impedance plethysmogram and the heart ejection by researching differential equation of the aortic volume change.

101. A differential equation of giving series of incremental AGC(Automatic Gauge Control)model has been derived by the error analysis method.

102. This paper given the formula of solution for nonhomogeneous linear differential equation with constant coefficients.

103. In this paper, a method to constant coefficient inhomogeneous linear differential equation is put forward.

104. This paper mainly deals with the solution to the linear differential equation that can be changed into the one with constant coefficients.

105. Based on the establishment of time delay dynamics equation to force telepresence teleoperation system, the absolute stability of system is analyzed by using the differential equation.

106. Fuzzy constraint differential equation can be applied to many engineering fields and the paper gives a solvable method and a decision method of solution.

107. And we also give some structure methods about nonzero special solution to the variable coefficient homogeneous linear differential equation of the second order.

108. The series solutions of the linear ordinary differential equation at singular point were studied via the infinite order matrix of the linear differential operator in power series basis.

109. The last chapter talks about the positive solution's existence of periodic boundary value problem of functional differential equation.

110. In order to get the stable convergence solutions of differential equation, count method based on coefficient of efficiency is taken.

111. If you are up to it, you can derive the proper equation yourself by solving the calculus differential equation for a curve with a constant angle between the radial and tangent vectors (HUH?).

112. The monotone iterative techniques is used to investigate the existence of extremal solution of periodic boundary value problems (PBVP) for neutral delay differential equation.

113. This paper discusses a new partial differential equation model for resolution enhancement of image.

114. A state transfer matrix differential equation was derived from the three-dimensional equilibrium equations and constitutive equations of a homogeneous, isotropic linear elastic body.

115. By initial value problem of differential equation, some functional equations are studied and some properties of the functional equations are obtained.

116. The carbon concentration distribution function derived from partial linear differential equation by applying the feasibility of repeat adding can describe the innate character of multi stage ca...

117. An annular model for chemostat was depicted by a group of ODE(ordinary differential equation) to imitate the ecosystem which included competition and predator-prey relations in nature.

118. This paper discusses a class of biochemical reaction system with doubly saturated reaction speed by using the method of qualitative theory of ordinary differential equation.

119. Hereafter, the general rate is determined by the diffusing rate in the exterior surface layer of the particle, which accord with lst-grade dynamic differential equation.

120. The generalized weighted residual method is employed to simplify the partial differential equation of motion.

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