Czechoslovak Mathematical Journal, first online, pp. 1-12
Boundary value problems with bounded $\varphi$-Laplacian and nonlocal conditions of integral type
Daria Bugajewska, Jean Mawhin
Received April 5, 2023. Published online December 8, 2023. OPEN ACCESS
Abstract: We study the existence of solutions to nonlinear boundary value problems for second order quasilinear ordinary differential equations involving bounded $\varphi$-Laplacian, subject to integral boundary conditions formulated in terms of Riemann-Stieltjes integrals.
Keywords: boundary value problem; $\varphi$-Laplacian; functions of bounded variation; Riemann-Stieltjes integral; prescribed curvature
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Affiliations: Daria Bugajewska (corresponding author), Faculty of Mathematics and Computer Science, Adam Mickiewicz University, Uniwersytetu Poznańskiego 4, 61-614 Poznań, Poland, e-mail: dbw@amu.edu.pl; Jean Mawhin, Research Institute in Mathematics and Physics, Catholic University of Louvain, Chemin du Cyclotron, 2, B-1348 Louvain-la-Neuve, Belgium, e-mail: jean.mawhin@uclouvain.be
