On a pseudo Fučik spectrum for strongly nonlinear second-order ODEs and an existence result

DOI10.1016/0377-0427(94)90358-1zbMath0811.34014OpenAlexW2029502025MaRDI QIDQ1342928

Fabio Zanolin, Raul F. Manasevich, García-Huidobro, Marta

Publication date: 15 January 1995

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

Full work available at URL: https://doi.org/10.1016/0377-0427(94)90358-1

zbMATH Keywords

boundary value problemCarathéodory conditionscontinuation theoremeigenvalue-like problempseudo Fučik spectrum

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) General spectral theory of ordinary differential operators (34L05)

Related Items (8)

Positive solution to the nonlinear abstract Hammerstein equation and applications to \(\phi\)-Laplacian BVPs ⋮ Solvability of strongly nonlinear boundary value problems for second order differential inclusions ⋮ Boundary value problems for highly nonlinear inclusions governed by non-surjective \(\Phi \)-Laplacians ⋮ \(p\)-Laplacian problems with jumping nonlinearities ⋮ Classical and Non-Classical Sign-Changing Solutions of a One-Dimensional Autonomous Prescribed Curvature Equation ⋮ Periodic solution for nonlinear systems with \(p\)-Laplacian-like operators ⋮ On the existence of weak solutions for singular strongly nonlinear boundary value problems on the half-line ⋮ Nonresonance conditions for generalised \(\phi\)-Laplacian problems with jumping nonlinearities

Cites Work

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• Strongly nonlinear second-order ODE's with unilateral conditions
• A Fredholm-like result for strongly nonlinear second order ODE's
• A continuation approach to superlinear periodic boundary value problems
• Generalization of Fredholm alternative for nonlinear differential operators
• Equivalent Norms for Sobolev Spaces

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