JOURNAL ARTICLE
Second Order Boundary Value Problems with Nonlinear Two-Point Boundary Conditions
Petio KelevedjievNedyu Popivanov
Year: 2000 Journal: Georgian Mathematical Journal Vol: 7 (4)Pages: 677-688 Publisher: Springer Science+Business Media
Abstract
Abstract The existence results obtained for the Dirichlet and mixed BVPs for the equation x ″ = f ( t , x , x ′) are extended to BVPs with full nonlinear conditions. The proofs are based on the theorem of Granas, Guenther and Lee, while barrier strips are used to obtain a priori bounds for solutions.
Keywords:
Mathematics Boundary value problem Nonlinear system A priori and a posteriori Mathematical proof Dirichlet distribution Fixed-point theorem Mathematical analysis Dirichlet boundary condition Order (exchange) Boundary values Point (geometry) Applied mathematics Geometry Physics
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Topics
Nonlinear Differential Equations Analysis
Physical Sciences → Mathematics → Applied Mathematics
Differential Equations and Numerical Methods
Physical Sciences → Mathematics → Numerical Analysis
Numerical methods for differential equations
Physical Sciences → Mathematics → Numerical Analysis
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