Nonlinear oscillations across a point of resonance for nonselfadjoint systems

DOI10.1016/0022-0396(78)90079-7zbMath0395.34034OpenAlexW2094638832MaRDI QIDQ1252964

Lamberto Cesari

Publication date: 1978

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

Full work available at URL: https://doi.org/10.1016/0022-0396(78)90079-7

zbMATH Keywords

Banach SpacesNonlinear Oscillations Across a Point of ResonanceNonselfadjoint Systems

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15)

Related Items

Unnamed Item, Non-self-adjoint semilinear problems at resonance in the alternative method, Existence theorems across a point of resonance, Existence and uniqueness of solutions for nonlinear alternative problems in a Banach space, Monotone techniques and some existence-uniqueness theorems for two point boundary value problems, Periodic solutions for differential equations at resonance with unbounded nonlinearities, Existence of solutions to nonselfadjoint boundary value problems for ordinary differential equations, An Abstract Existence Theorem at Resonance, Existence results for forced nonlinear periodic BVPs at resonance, Solutions of nonlinear hyperbolic equations at resonance

Cites Work

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• A criterion for the existence in a strip of periodic solutions of hyperbolic partial differential equations
• A connection between the Cesari and Leray-Schauder methods
• Functional analysis and Galerkin's method
• Bounded perturbations of forced harmonic oscillators at resonance
• 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
• An Abstract Existence Theorem at Resonance
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