Existence for a class of semilinear problems at resonance

DOI10.1016/0022-0396(82)90062-6zbMath0515.34003OpenAlexW2016206015MaRDI QIDQ1051773

James Robert jun. Ward

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1016/0022-0396(82)90062-6

zbMATH Keywords

delay differential equationapplicationsemilinear equations at resonance

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Nonlinear ordinary differential equations and systems (34A34) Linear operators on function spaces (general) (47B38) Functional-differential equations (including equations with delayed, advanced or state-dependent argument) (34K99)

Related Items (7)

Unnamed Item ⋮ Existence theorems for equations in normed spaces and boundary value problems for nonlinear vector ordinary differential equations ⋮ Existence of periodic solutions for an \(n\)th order differential equation with nonlinear restoring term and time-variable coefficients ⋮ On forced nonlinear oscillations in nth order differential systems with geometric conditions ⋮ Unnamed Item ⋮ On the existence of periodic solutions for a nonlinear system of ordinary differential equations ⋮ Multiple existence of solutions for a semilinear elliptic problem with Neumann boundary condition

Cites Work

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• Existence theorems for nonlinear boundary value problems at resonance
• Nonlinear perturbations of a linear elliptic problem near its first eigenvalue
• On the existence of periodic solutions of a nonlinear vector differential equation
• Strongly nonlinear perturbations of nonnegative boundary value problems with kernel
• Curvature functions for compact 2-manifolds
• Periodic solutions of some vector retarded functional differential equations
• A sharp sufficient condition for solution of a nonlinear elliptic boundary value problem
• Equivalence theorems for nonlinear operator equations and coincidence degree theory for some mappings in locally convex topological vector spaces
• Asymptotic Conditions for Periodic Solutions of Ordinary Differential Equations
• Remarks on some quasilinear elliptic equations
• On the Dirichlet problem for weakly non-linear elliptic partial differential equations

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