Bielecki's method, existence and uniqueness results for Volterra integral equations in \(L^ p\) space

DOI10.1016/0022-247X(91)90046-3zbMath0724.45006MaRDI QIDQ2644897

Marian Kwapisz

Publication date: 1991

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

contractionVolterra integral equationequivalent norm\(L^ p\)-spaceBielecki's methodabstract functional equations

Mathematics Subject Classification ID

Other nonlinear integral equations (45G10) Systems of nonlinear integral equations (45G15) Volterra integral equations (45D05)

Related Items (5)

Structured population models on Polish spaces: A unified approach including graphs, Riemannian manifolds and measure spaces to describe dynamics of heterogeneous populations ⋮ Weighted norms and existence and uniqueness of \(L^ p\) solutions for integral equations in several variables ⋮ On \(l^ p\) solutions of discrete Volterra equations ⋮ Abstract Volterra equations: a survey ⋮ Existence of global solutions for some classes of integral equations

Cites Work

• On some Gronwall-type integral inequalities in \(n\) independent variables
• Systems of multidimensional volterra integral equations and inequalities
• On Nonlinear Contractions
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