A new approach to the method of nonlinear variation of parameters

DOI10.1016/0096-3003(78)90014-0zbMath0375.34033OpenAlexW1996069394MaRDI QIDQ1246074

M. E. Lord, A. Richard Mitchell

Publication date: 1978

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10106/2157

Mathematics Subject Classification ID

Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Asymptotic expansions of solutions to ordinary differential equations (34E05)

Related Items (10)

On some variation of parameter methods for integrodifferential, integral, and quasilinear partial integrodifferential equations ⋮ On the solution of Volterra integral equations with decomposable kernel functions ⋮ A new approach to the method of nonlinear variation of parameters for a perturbed nonlinear neutral functional differential equation ⋮ Variation of constants, vector Lyapunov functions, and comparison theorem ⋮ A new approach to the stability theory of functional differential systems ⋮ A new approach to the stability theory of functional differential systems ⋮ Comparaison resultats pour la stabilité pratique ⋮ A nonlinear variation of constants method for integro differential and integral equations ⋮ Stability and asymptotic equivalence of perturbations of nonlinear systems of differential equations ⋮ Nonlinear variation of parameter methods for summary difference equations in several independent variables

Cites Work

• A variation of constants formula and Bellman-Gronwall-Reid inequalities
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