RT Journal Article
T1 Lower and Upper Solutions for System of Differential Equations Involving Homeomorphism and Nonlinear Boundary Conditions
A1 Rodríguez López, Jorge
A1 Szymańska Dȩbowska, Katarzyna
A1 Zima, Miroslawa
K1 Nonlinear boundary value problem
K1 Nonlinear boundary conditions
K1 Homeomorphism
K1 Lower solution
K1 Upper solution
K1 Schauder fixed point theorem
AB We study the existence of solution to the system of differential equations (φ(u)) = f(t, u, u) with nonlinear boundary conditionsg(u(0), u, u)=0, h(u(1), u, u)=0, where f : [0, 1]×Rn ×Rn → Rn, g, h : Rn ×C([0, 1], Rn)×C([0, 1], Rn) →Rn are continuous, φ : ni=1(−ai, ai) → Rn, 0 < ai ≤ +∞, φ(s) =(φ1(s1),...,φn(sn)) and φi : (−ai, ai) → R is a one dimensional regular or singular homeomorphism. Our proofs are based on the concept of the lower and upper solutions
PB Springer
SN 1422-6383
YR 2024
FD 2024-06-14
LK http://hdl.handle.net/10347/34969
UL http://hdl.handle.net/10347/34969
LA eng
NO Results Math 79, 181 (2024)
NO M. Zima was partially supported by the Centre for Innovation and Transfer of Natural Science and Engineering Knowledge of University of Rzeszów. J. Rodríguez-López was partially supported by Agencia Estatal de Investigación, Spain, Project PID2020-113275GBI00, and Xunta de Galicia, Spain, Project ED431C 2023/12
DS Minerva
RD 22 abr 2026