The Existence of a Solution and Numerical Approximation to a Dirichlet Problem for a Nonlinear Differential Equation

DOI10.1080/01630569908816909zbMath0957.65075OpenAlexW2003273413WikidataQ115301575 ScholiaQ115301575MaRDI QIDQ4265781

Agata Ligier

Publication date: 29 March 2001

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630569908816909

zbMATH Keywords

algorithmdifferential inclusionsboundary value problemsvariational methodsRitz's method

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Ordinary differential inclusions (34A60) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10)

Cites Work

• Periodic solutions to Hamiltonian inclusions
• Critical point theory and Hamiltonian systems
• A new variational principle and duality for periodic solutions of Hamilton's equations
• Semigroups of convex bifunctions generated by Lagrange problems in the calculus of variations.
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