Boundary value problems for strongly nonlinear equations under a Wintner-Nagumo growth condition

DOI10.1186/S13661-017-0913-7zbMath1386.34041OpenAlexW2771570248WikidataQ59605143 ScholiaQ59605143MaRDI QIDQ1689773

Cristina Marcelli, Francesca Papalini

Publication date: 17 January 2018

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-017-0913-7

zbMATH Keywords

lower and upper solutionsnonlinear boundary conditionsperiodic problemssecond order differential equationsNeumann problemsnonlinear differential operators\(\Phi\)-Laplacianfixed point techniquesSturm-Liouville conditionswintner-Nagumo growth condition

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Periodic solutions to ordinary differential equations (34C25) Sturm-Liouville theory (34B24)

Related Items (7)

Existence results for boundary value problems associated with singular strongly nonlinear equations ⋮ Existence results for singular strongly non-linear integro-differential BVPs on the half line ⋮ Boundary value problems for singular second order equations ⋮ Boundary value problems associated with singular strongly nonlinear equations with functional terms ⋮ On the existence of weak solutions for singular strongly nonlinear boundary value problems on the half-line ⋮ Heteroclinic solutions for a class of boundary value problems associated with singular equations ⋮ Solvability of some boundary value problems involving \(p\)-Laplacian and non-autonomous differential operators

Cites Work

• Heteroclinic solutions of boundary-value problems on the real line involving general nonlinear differential operators.
• Boundary value problems for highly nonlinear inclusions governed by non-surjective \(\Phi \)-Laplacians
• Heteroclinic solutions of boundary value problems on the real line involving singular \(\Phi \)-Laplacian operators
• Boundary value problems for some nonlinear systems with singular \(\phi\)-Laplacian
• Boundary-value problems for strongly nonlinear multivalued equations involving different \(\Phi\)-Laplacians
• The role of boundary data on the solvability of some equations involving non-autonomous nonlinear differential operators
• Multiple solutions of boundary value problems with \(\phi\)-Laplacian operators and under a wintner-Nagumo growth condition
• Existence and multiplicity results for some nonlinear problems with singular \(\phi\)-Laplacian
• Periodic solutions of nonlinear perturbations of \(\phi\)-Laplacians with possibly bounded \(\phi\)
• Sufficient conditions for the existence of heteroclinic solutions for -Laplacian differential equations
• Second order problems with functional conditions including Sturm-Liouville and multipoint conditions
• Existence results for the problem (φ(u′))′=f(t,u,u′) with nonlinear boundary conditions
• Existence result for the problem (φ(u′))′ = f(t, u, u′) with periodic and Neumann boundary conditions

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