Linear multistep methods for optimal control problems and applications to hyperbolic relaxation systems [PDF]
, 2018 We are interested in high-order linear multistep schemes for time discretization of adjoint equations arising within optimal control problems. First we consider optimal control problems for ordinary differential equations and show loss of accuracy for ...
Albi, Giacomo +2 more
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Computers & Mathematics with Applications, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Saravi, M. +3 more
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Some basic properties of infinite dimensional Hamiltonian systems [PDF]
, 1974 We consider some fundamental properties of infinite dimensional Hamiltonian systems, both linear and nonlinear. For exemple, in the case of linear systems, we prove a symplectic version of the teorem of M. Stone.
Chernoff, P. R., Marsden, J. E.
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Partial Differential Equations in Applied Mathematics, 2023 Many applications and natural phenomena in the fields of physics and engineering are described by ordinary and partial differential equations. Therefore, obtaining solutions to these equations helps to analyze and understand the dynamics of these systems,
Marwan Alquran
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Integrability of planar polynomial differential systems through linear differential equations [PDF]
, 2005 In this work, we consider rational ordinary differential equations dy/dx = Q(x,y)/P(x,y), with Q(x,y) and P(x,y) coprime polynomials with real coefficients.
Giacomini, Héctor +2 more
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Direct Power Series Approach for Solving Nonlinear Initial Value Problems
Axioms, 2023 In this research, a new approach for solving fractional initial value problems is presented. The main goal of this study focuses on establishing direct formulas to find the coefficients of approximate series solutions of target problems.
Emad Salah +3 more
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Solving Linear and Non Linear Stiff System of Ordinary Differential Equations by Multistage Adomian Decomposition Method [PDF]
Third International Conference on Advances in Applied Science and Environmental Technology - ASET 2015, 2015 In this paper, linear and non-linear stiff systems of ordinary differential equations are solved by the classical Adomian decomposition method (ADM) and the multistage Adomian decomposition method (MADM). The MADM is a technique adapted from the standard Adomian decomposition method (ADM) where standard ADM is converted into a hybrid numeric-analytic ...
I HASHIM, M S, MD ALAL
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Fundamental systems and solutions of nonhomogeneous equations for a pair of mixed linear ordinary differential equations [PDF]
Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, 1990 AbstractTwo different ordinary differential operators L1 and L2 (not of the same order) defined on two adjacent intervals I1 and I2, respectively, with certain mixed conditions at the interface are considered. These problems are encountered in the study of ‘acoustic waveguides in ocean’, ‘transverse vibrations in nonhomogeneous strings’, etc.
M. Venkatesulu, T. Gnana Bhaskar
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Oscillation and non-oscillation criteria for linear nonhomogeneous systems of two first-order ordinary differential equations [PDF]
Journal of Mathematical Analysis and Applications, 2022 9 ...
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The quantum Arnold transformation [PDF]
, 2010 By a quantum version of the Arnold transformation of classical mechanics, all quantum dynamical systems whose classical equations of motion are non-homogeneous linear second-order ordinary differential equations, including systems with friction linear in
Aldaya, Victor +3 more
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