Existence of solutions to boundary value problems for second order differential equations

DOI10.1016/0362-546X(82)90027-XzbMath0517.34018OpenAlexW2074024926MaRDI QIDQ3665457

Lynn H. Erbe

Publication date: 1982

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(82)90027-x

zbMATH Keywords

two-point boundary value problemnonlinear second-order equationupper solutionslower solutionNagumo condition

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15)

Related Items (35)

Second boundary value problems for nonlinear ordinary differential equations across resonance ⋮ On the existence of solutions of boundary value problems for second order differential equations ⋮ Bounding Surfaces and Second Order Quasilinear Equations with Compatible Nonlinear Functional Boundary Conditions ⋮ Periodic sample solutions of second order ode's ⋮ Neumann problems for second order ordinary differential equations across resonance ⋮ On solvability of boundary value problems for systems of differential equations ⋮ Existence of positive solutions for nonlinear eigenvalue problems ⋮ A novel Ishikawa-Green's fixed point scheme for the solution of BVPs ⋮ Nonlinear fourth-order two-point boundary value problems ⋮ Fourth-order problems with fully nonlinear boundary conditions ⋮ Boundary value problems for general second order equations and similarity solutions to the Rayleigh problem ⋮ Two point boundary value problems for nonlinear differential equations ⋮ Existence of solutions for two-point boundary value problems ⋮ Existence and uniqueness of the modified error function ⋮ Existence theorem for periodic solutions of higher order nonlinear differential equations ⋮ Upper and lower solutions for second-order boundary value problems with nonlinear boundary conditions ⋮ Solvability of boundary value problems for vector differential systems ⋮ An overview of the lower and upper solutions method with nonlinear boundary value conditions ⋮ Existence of affine-periodic solutions to Newton affine-periodic systems ⋮ Differential equations involving homeomorphism with nonlinear boundary conditions ⋮ Boundary value problems for nonlinear impulsive integrodifferential equations ⋮ Existence results for boundary value problems of second order impulsive differential equations ⋮ Existence of solutions for a two-point boundary value problem on time scales. ⋮ Nonlinear boundary value problems for first order impulsive integro-differential equations ⋮ Differential inequalities method to \(n\)th-order boundary value problems ⋮ Nagumo theorems of nonlinear singular boundary value problems ⋮ Existence of solutions of nonlinear mixed two-point boundary value problems for third-order nonlinear differential equation ⋮ Bounding functions methods for fully nonlinear boundary value problems ⋮ Existence of solutions for some nonlinear problems with \(p\)-Laplacian like operators ⋮ A novel approach for the solution of BVPs via Green's function and fixed point iterative method ⋮ Existence and location results for fully nonlinear boundary value problem of \(n\)th-order nonlinear system ⋮ An application of topological transversality to non-positive higher order difference equations ⋮ The singularly perturbed nonlinear boundary value problems ⋮ Third-order nonlinear singularly perturbed boundary value problem. ⋮ Upper and lower solutions and semilinear second order elliptic equations with non-linear boundary conditions

Cites Work

• Unnamed Item
• Nonlinear second-order boundary value problems: Intervals of existence, uniqueness and continuous dependence
• An introduction to nonlinear boundary value problems
• Comparison theorems for nonlinear differential equations
• Periodic solutions of nonlinear second order differential equations
• Subfunction and second-order ordinary differential inequalities
• Existence and uniqueness for two-point boundary value problems
• An Elementary Proof of the Existence of Solutions to Second Order Nonlinear Boundary Value Problems
• A Generalized Two-Point Boundary Value Problem
• Nonlinear boundary value problems for second order differential equations
• A nonlinear boundary value problem

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