Boundary value problems with bounded ϕ-Laplacian and nonlocal conditions of integral type

• Published in: Czechoslovak mathematical journal Vol. 75; no. 1; pp. 277 - 288
• Main Authors: Bugajewska, Daria, Mawhin, Jean
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.03.2025; Springer Nature B.V
• Subjects: Analysis; Boundary conditions; Boundary value problems; Convex and Discrete Geometry; Differential equations; Mathematical Modeling and Industrial Mathematics; Mathematics; Mathematics and Statistics; Ordinary Differential Equations; functions of bounded variation; prescribed curvature; 47H30; Riemann-Stieltjes integral; 34B10; boundary value problem; Laplacian
• ISSN: 0011-4642; 1572-9141
• DOI: 10.21136/CMJ.2023.0154-23

We study the existence of solutions to nonlinear boundary value problems for second order quasilinear ordinary differential equations involving bounded ϕ -Laplacian, subject to integral boundary conditions formulated in terms of Riemann-Stieltjes integrals.