Nonlinear nonautonomous functional differential equations in Lp spaces

DOI10.1016/0362-546X(81)90045-6zbMath0451.34062MaRDI QIDQ3897350

Maurizio Badii, Glenn F. Webb

Publication date: 1981

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

accretive operatorevolution operatortime dependent normsnonlinear nonautonomous functional differential equationLp space of initial functions

Mathematics Subject Classification ID

General theory of ordinary differential operators (47E05) General theory of functional-differential equations (34K05)

Related Items (10)

Functional differential equations of delay type and nonlinear evolution in \(L_ p\)-spaces ⋮ Positive evolution families solving nonautonomous difference equations ⋮ The work of Glenn F. Webb ⋮ A non-local reduction principle for cocycles in Hilbert spaces ⋮ Unnamed Item ⋮ On nonautonomous functional differential equations ⋮ On nonlinear equations of evolution ⋮ Convergence of the Kato approximants for evolution equations involving functional perturbations ⋮ Product integrals of continuous resolvents: existence and nonexistence ⋮ Semigroups of translations and functional differential equations

Cites Work

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• Some remarks on semi-groups of nonlinear operators
• Hereditary differential systems with constant delays. I. General case
• Linear evolution equations of hyperbolic type. II
• Variation of constants formulas for partial differential equations with delay
• 20.—Functional Differential Equations and Non-linear Evolution Operators
• Hereditary Control Problems: Numerical Methods Based on Averaging Approximations
• Autonomous nonlinear functional differential equations and averaging approximations
• A Generalized Domain for Semigroup Generators
• Generation of Semi-Groups of Nonlinear Transformations on General Banach Spaces
• Nonlinear evolution equations in Banach spaces
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