Nagumo conditions and second-order quasilinear equations with compatible nonlinear functional boundary conditions

DOI10.1216/RMJ-2011-41-2-573zbMath1229.34031OpenAlexW2002982084MaRDI QIDQ533530

H. B. Thompson, Jean Mawhin

Publication date: 3 May 2011

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmj-2011-41-2-573

zbMATH Keywords

lower and upper solutionsnonlinear boundary conditionsexistence resultsfunctional boundary conditionsNagumo conditionssecond order quasilinear equations

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Applications of operator theory to differential and integral equations (47N20) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

Related Items

Bernstein-Nagumo conditions and solutions to nonlinear differential inequalities ⋮ Nonlinear second-order equations with functional implicit impulses and nonlinear functional boundary conditions ⋮ Multiple solutions of boundary value problems with \(\phi\)-Laplacian operators and under a wintner-Nagumo growth condition ⋮ Bound sets for a class of \(\varphi \)-Laplacian operators ⋮ Boundary shape function iterative method for nonlinear second-order boundary value problems with nonlinear boundary conditions ⋮ The Dirichlet problem for the vector ordinary \(p\)-Laplacian

Cites Work

• Unnamed Item
• Unnamed Item
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• Unnamed Item
• Coincidence degree, and nonlinear differential equations
• An introduction to nonlinear boundary value problems
• Existence theory for functional \(p\)-Laplacian equations with variable exponents
• Second order ordinary differential equations with fully nonlinear two point boundary conditions
• Second order ordinary differential equations with fully nonlinear two point boundary conditions. II
• Comparison theorems for nonlinear second order differential equations
• Two-point boundary value problems. Lower and upper solutions
• Periodic solutions of nonlinear second order differential equations
• Subfunction and second-order ordinary differential inequalities
• A general boundary value problem technique
• Bounding Surfaces and Second Order Quasilinear Equations with Compatible Nonlinear Functional Boundary Conditions
• Second order problems with functional conditions including Sturm-Liouville and multipoint conditions
• Upper and lower solutions and semilinear second order elliptic equations with non-linear boundary conditions
• Upper and lower solutions for second-order boundary value problems with nonlinear boundary conditions
• Nonlinear multipoint boundary value problems for weakly coupled systems
• A Priori Bounds for Boundary Sets
• Nonlinear boundary value problems for second order differential equations
• Three-point boundary value problems for second-order ordinary differential equations