Existence, uniqueness and continuous dependence for implicit semilinear functional differential equations.

DOI10.1016/S0362-546X(03)00219-0zbMath1042.34103OpenAlexW2010775767MaRDI QIDQ1413259

Anatoliy Rutkas, Larisa Vlasenko

Publication date: 16 November 2003

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(03)00219-0

zbMATH Keywords

SemilinearImplicit and degenerate semilinear functional-differential equationsLiquid filtration in fissured porous rocksPartial functional-differential equationSobolev evolution equation

Mathematics Subject Classification ID

Functional-differential equations in abstract spaces (34K30)

Related Items (6)

On the well-posedness of degenerate fractional differential equations in vector valued function spaces ⋮ On a differential game in a system with distributed parameters ⋮ On a differential game in a system described by an implicit differential-operator equation ⋮ Hölder continuous solutions for Sobolev type differential equations ⋮ Lagrange stability and instability of irregular semilinear differential-algebraic equations and applications ⋮ On a class of impulsive functional-differential equations with nonatomic difference operator

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