Asymptotic integration of linear differential-algebraic equations
Electronic Journal of Qualitative Theory of Differential Equations, 2014 This paper is concerned with the asymptotic behavior of solutions of linear differential-algebraic equations with asymptotically constant coefficients. Some results of asymptotic integration which are well known for ordinary differential equations (ODEs)
Vu Hoang Linh, Nguyen Tuan
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Global extrapolation procedures for linear partial differential equations [PDF]
, 1987 Global extrapolation procedures, in space and time are considered for the numerical Solution of linear partial differential equations. Global extrapolation procedures in time only are reviewed.
Twizell, E H
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Lyapunov-type inequalities for third-order linear differential equations
Electronic Journal of Differential Equations, 2017 In this article, we establish new Lyapunov-type inequalities for third-order linear differential equations $$ y'''+q( t) y=0, $$ under the three-point boundary conditions $$ y( a) =y( b) =y( c) =0 $$ and $$ y( a) =y''( d) =y( b) =0 $$ by ...
Mustafa Fahri Aktas, Devrim Cakmak
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Parallel unstructured solvers for linear partial differential equations [PDF]
, 2006 This thesis presents the development of a parallel algorithm to solve symmetric systems of linear equations and the computational implementation of a parallel partial differential equations solver for unstructured meshes.
Becker, Dulcenéia
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Numerical methods for ordinary differential equations with applications to partial differential equations [PDF]
, 1983 This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.The thesis develops a number of algorithms for the numerical solution of ordinary differential equations with applications to partial differential equations.
Khaliq, Abdul Qayyum Masud
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Explicit and implicit methods for second order ordinary differential equations [PDF]
, 1980 A family of explicit formulas is developed for solving a system of second order linear ordinary differential equations with constant coefficients and with initial conditions specified.
Twizell, E H
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The adapted solution and comparison theorem for backward stochastic differential equations with Poisson jumps and applications [PDF]
, 2008 This paper deals with a class of backward stochastic differential equations with Poisson jumps and with random terminal times. We prove the existence and uniqueness result of adapted solution for such a BSDE under the assumption of non-Lipschitzian ...
Mao, Xuerong +2 more
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On linear differential equations and systems with reflection [PDF]
Applied Mathematics and Computation, 2017 In this paper we develop a theory of linear differential systems analogous to the classical one for ODEs, including the obtaining of fundamental matrices, the development of a variation of parameters formula and the expression of the Green's functions.
Alberto Cabada, F. Adrián F. Tojo
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A Problem in Linear Differential Equations [PDF]
Proceedings of the American Mathematical Society, 1959 In the Bulletin of the American Mathematical Society, March 1958, page 61, R. E. Bellman suggests the following for research. "Consider the second order linear differential equation (1) u" + (1 + Xg(x))u = O where X is a real constant and fo7 I g(x) I dx 0 for x _ 0, is the singularity nearest the origin on the negative axis?" We assume that g(x) is ...
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The Z5 transformation for solving quasi-linear partial differential equations
Partial Differential Equations in Applied Mathematics, 2023 The Z1-Z4 transformations proposed in our previous papers have acquired remarkable success in the field of linear partial differential equations, general solutions of a large number of typical equations were obtained for the first time, and exact ...
Hong Lai Zhu
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