Linear Stieltjes integral equations in Banach spaces

DOI10.21136/MB.1999.125994zbMath0937.34047OpenAlexW2767473168MaRDI QIDQ4940810

Štefan Schwabik

Publication date: 27 February 2000

Full work available at URL: https://eudml.org/doc/29148

zbMATH Keywords

Banach spacegeneralized linear differential equationlinear Stieltjes integral equations

Mathematics Subject Classification ID

Integrals of Riemann, Stieltjes and Lebesgue type (26A42) Linear differential equations in abstract spaces (34G10) Denjoy and Perron integrals, other special integrals (26A39) Abstract integral equations, integral equations in abstract spaces (45N05) Linear integral equations (45A05)

Related Items (10)

Linear measure functional differential equations with infinite delay ⋮ On regulated functions ⋮ Dichotomies for generalized ordinary differential equations and applications ⋮ Robustness of exponential dichotomies for generalized ordinary differential equations ⋮ Continuous dependence of solutions of abstract generalized linear differential equations with potential converging uniformly with a weight ⋮ On the relationships between Stieltjes type integrals of Young, Dushnik and Kurzweil ⋮ Regulated functions with values in Banach space ⋮ Bounded convergence theorem for abstract Kurzweil-Stieltjes integral ⋮ Results on uniqueness of solution of nonhomogeneous impulsive retarded equation using the generalized ordinary differential equation ⋮ Boundary value problems for generalized ODEs

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