Non-linear functional differential equations and abstract integral equations
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Publication:3903329
DOI10.1017/S0308210500016966zbMath0455.34057OpenAlexW2320676156MaRDI QIDQ3903329
Wilhelm Schappacher, Franz Kappel
Publication date: 1979
Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s0308210500016966
Nonlinear ordinary differential equations and systems (34A34) Functional-differential equations in abstract spaces (34K30) General theory of functional-differential equations (34K05) Numerical analysis in abstract spaces (65J99)
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Cites Work
- On autonomous linear functional differential equations with infinite retardations
- Theory of functional differential equations. 2nd ed
- Nonlinear semigroups of translations in Banach space generated by functional differential equations
- Autonomous nonlinear functional differential equations and nonlinear semigroups
- Functional differential equations and nonlinear semigroups in \(L^p\) spaces
- Convergence and approximation of semigroups of nonlinear operators in Banach spaces
- Continuous nonlinear perturbations of linear accretive operators in Banach spaces
- Spectral operators
- Nonlinear functional differential equations in L1 spaces
- Hereditary Control Problems: Numerical Methods Based on Averaging Approximations
- Autonomous nonlinear functional differential equations and averaging approximations
- Generation of Semi-Groups of Nonlinear Transformations on General Banach Spaces