Local existence of Lipschitz-continuous solutions of systems of nonlinear functional equations with iterated deviations
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Publication:450281
DOI10.1016/j.amc.2012.04.016zbMath1251.39013OpenAlexW2049907453MaRDI QIDQ450281
Publication date: 13 September 2012
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2012.04.016
local solutionunique existencedeviating argument, successive approximationsLipschitz-continuous solutionsnonlinear functional equationsWeierstrass criterion.
Related Items (6)
Existence of bounded solutions of a class of neutral systems of functional differential equations ⋮ Asymptotically convergent solutions of a system of nonlinear functional differential equations of neutral type with iterated deviating arguments ⋮ On bounded continuously differentiable solutions with Lipschitz first derivatives of a system of functional differential equations ⋮ Solutions of a system of functional differential equations in a right neighborhood of zero ⋮ Unique existence of periodic solutions of a class of systems of nonlinear difference equations with continuous argument ⋮ On solutions of a class of systems of nonlinear functional equations in a neighborhood of zero satisfying Lipschitz condition
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