Functional Differential Equations

DOI10.1002/9781119189503zbMath1353.34001OpenAlexW4256676221MaRDI QIDQ2808519

Yizeng Li, Mehran Mahdavi, Constantin Corduneanu

Publication date: 23 May 2016

Full work available at URL: https://doi.org/10.1002/9781119189503

zbMATH Keywords

stabilityintegro-differential equationsperiodic solutionsasymptotic behavioruniquenessuniform stabilitylocal existenceasymptotic stabilityordinary differential equationsintegral equationsfunctional equationsglobal existencedelay equationsboundedness of solutionsuniform asymptotic stabilityneutral functional differential equationsgeneralized Fourier seriesfunctional differential equationsalmost periodic solutionsoscillatory properties of solutionsdependence on dataLiapunov functions/functionals

Mathematics Subject Classification ID

Stability theory of functional-differential equations (34K20) Periodic solutions to functional-differential equations (34K13) General theory of functional-differential equations (34K05) Research exposition (monographs, survey articles) pertaining to ordinary differential equations (34-02)

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Exponential stability analysis for a class of switched nonlinear time-varying functional differential systems ⋮ Uncertain impulsive functional differential systems of fractional order and almost periodicity ⋮ Existence of \(AP_{r}\)-almost periodic solutions for some classes of functional differential equations ⋮ Krasnosel'skii-type fixed point theorems for convex-power condensing mappings in locally convex spaces ⋮ Uniform exponential stability of linear delayed integro-differential vector equations ⋮ Comparison principle based on Minkowski mixed volumes for a family of differential equations ⋮ Delay-dependent stability conditions for non-autonomous functional differential equations with several delays in a Banach space ⋮ Global existence of solutions to some semilinear integro-differential evolution equations with sign-varying kernels ⋮ 40 years of the direct matrix-valued Lyapunov function method (review) ⋮ On the fundamental solution and its application in a large class of differential systems determined by Volterra type operators with delay ⋮ AP_r solutions for linear functional difference equations with infinite delay with/without Favard's property

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