A priori bounds and upper and lower solutions for nonlinear second order boundary value problems

DOI10.1016/0022-0396(72)90034-4zbMath0227.34016OpenAlexW2061713708MaRDI QIDQ2549406

Robert E. Gaines

Publication date: 1972

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(72)90034-4

Mathematics Subject Classification ID

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

Related Items (14)

Upper and lower solution methods for fully nonlinear boundary value problems ⋮ The two-point boundary value problem from the Cauchy problem ⋮ One-sided existence and uniqueness for periodic solutions of second-order ordinary differential equations ⋮ Difference equations associated with fully nonlinear boundary value problems for second order ordinary differential equations ⋮ Boundary value problems for higher order nonlinear ordinary differential systems ⋮ Periodic solutions of a quasilinear parabolic differential equation ⋮ A second-order nonlinear boundary value problem ⋮ Boundary value problems for quasilinear ODEs ⋮ An existence theorem for periodic solutions of a nonlinear parabolic boundary value problem ⋮ Boundary value problems for quasilinear second order elliptic equations ⋮ Existence of periodic solutions to second order nonlinear ordinary differential equations ⋮ Nonlinear second-order boundary value problems: Intervals of existence, uniqueness and continuous dependence ⋮ The nonexistence of spurious solutions to discrete, two-point boundary value problems ⋮ Existence of multiple solutions for finite difference approximations to second-order boundary value problems

Cites Work

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• On the global existence of solutions of second order ordinary differential equations
• Subfunction and second-order ordinary differential inequalities
• A priori bounds for solutions to nonlinear two-point boundary value problems
• A Generalized Two-Point Boundary Value Problem
• A Priori Bounds for Boundary Sets
• Nonlinear boundary value problems for second order differential equations
• A nonlinear boundary value problem
• A nonlinear boundary value problem

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