Asymptotics of nonlinearities and operator equations

zbMath0863.47047MaRDI QIDQ1895829

Alexander M. Krasnosel'skii

Publication date: 13 August 1995

Published in: Operator Theory: Advances and Applications (Search for Journal in Brave)

zbMATH Keywords

Schauder's fixed point theoremtopological degreestrict positivitycompletely continuous operatortwo-point boundary value problemsCarathéodory functionvariational techniquesweak nonlinearitysystems with delaysecond-order nonlinear differential equationsleading eigenvaluesDirichlet problems for elliptic partial differential equationsforced oscillations in control systemsintegral equations with nonnegative kernelsintegral-functional inequalitiesone-sided estimatestwo-sided estimates for nonlinearities

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Equations involving nonlinear operators (general) (47J05) Fixed-point theorems (47H10) Degree theory for nonlinear operators (47H11) Applications of operator theory to differential and integral equations (47N20) Research exposition (monographs, survey articles) pertaining to operator theory (47-02)

Related Items (4)

Method of Potential Bounds in Periodic Problems for Control Systems ⋮ Nonlinear resonance in systems with hysteresis ⋮ Periodic solutions of equations with oscillating nonlinearities ⋮ On the Hopf bifurcation in control systems with a bounded nonlinearity asymptotically homogeneous at infinity

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