Differentiability with respect to initial functions for partial functional differential equations with unbounded delay

DOI10.1216/RMJ-2013-43-4-1181zbMath1273.35286MaRDI QIDQ370852

Danuta Jaruszewska-Walczak

Publication date: 20 September 2013

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1378730043

zbMATH Keywords

Cauchy problemclassical solutionsglobal existence of solutionssuccessive approximationscontinuous and differentiable dependence on initial functionsdifferential functional almost linear equationshale operatorphase spaces

Mathematics Subject Classification ID

Partial functional-differential equations (35R10) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Initial value problems for systems of nonlinear first-order PDEs (35F55)

Cites Work

• Functional differential equations with infinite delay
• Theory of functional differential equations. 2nd ed
• Hyperbolic functional-differential equations with unbounded delay
• Theory and applications of partial functional differential equations
• Hyperbolic functional differential systems with unbounded delay
• Existence, uniqueness and continuous dependence for a hereditary nonlinear functional partial differential equation of the first order
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