Existence and uniqueness of solutions for nonlinear alternative problems in a Banach space

DOI10.21136/cmj.1981.101779zbMath0499.34040OpenAlexW3011457162MaRDI QIDQ3964927

Heinz W. Engl, Lamberto Cesari

Publication date: 1981

Full work available at URL: https://eudml.org/doc/13292

zbMATH Keywords

projectionfirst order nonlinear ordinary differential equation with lag and forcing termnonlinear nonselfadjoint problems in Banach spaces

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Nonlinear differential equations in abstract spaces (34G20)

Related Items (2)

Existence and uniqueness results for periodic solutions of differential systems with application to the competing species problem ⋮ On recent existence theorems in the theory of optimization

Cites Work

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• Nonlinear oscillations across a point of resonance for nonselfadjoint systems
• A connection between the Cesari and Leray-Schauder methods
• Bounded perturbations of forced harmonic oscillators at resonance
• A sharp sufficient condition for solution of a nonlinear elliptic boundary value problem
• Uniqueness in the Schauder Fixed Point Theorem
• An Abstract Existence Theorem at Resonance

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