Application of implicit function theorems to existence of solutions to ordinary differential equations with nonlocal boundary conditions

DOI10.1016/S0022-247X(02)00262-7zbMath1028.34017MaRDI QIDQ1856800

Yanyan Li

Publication date: 11 February 2003

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

zbMATH Keywords

nonlocal boundary conditionsimplicit function theoremssteady-state heat conductionsecond-order boundary value problems

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Implicit function theorems, Jacobians, transformations with several variables (26B10)

Related Items

Existence and multiplicity results for some three-point boundary value problems, Approximations and rapid convergence of solutions of nonlinear three point boundary value problems

Cites Work

• Nonlinear boundary value problems for some classes of ordinary differential equations
• Some general existence principles in the Carathéodory theory of nonlinear differential systems
• On a nonlocal boundary value problem for second order linear ordinary differential equations
• Boundary value problems for nonlinear ordinary differential equations
• Three-point boundary value problem for nonlinear second-order differential equation with parameter
• Three‐Point Boundary Value Problems in Differential Equations
• On the existence of solutions for a class of first-order differential equations
• Existence results for some \(n\)-dimensional nonlocal boundary value problems
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item