On a Nonlocal Boundary Value Problem for Second Order Nonlinear Singular Differential Equations

By A. Lomtatidze, L. Malaguti. 2000

107 citations recorded by the source corpus.

Abstract Criteria for the existence and uniqueness of a solution of the boundary value problem are established, where ƒ :]a, b[×R 2 → R satisfies the local Carathéodory conditions, and μ : [a, b] → R is the function of bounded variation. These criteria apply to the case where the function ƒ has nonintegrable singularities in the first argument at the points a and b.

Subfields: Applied Mathematics, Computational Theory and Mathematics, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/119929f4f0920b6e4c6b3f14ad2e38f7899e5f24

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In Applied Mathematics

1. George L. Karakostas
2. P. Ch. Tsamatos
3. Gennaro Infante
4. J. R. L. Webb
5. Paolamaria Pietramala
6. S. Stević

In Computational Theory and Mathematics

1. P. Ch. Tsamatos
2. George L. Karakostas

In Numerical Analysis

1. George L. Karakostas
2. P. Ch. Tsamatos
3. Gennaro Infante
4. J. R. L. Webb
5. Paolamaria Pietramala

Citations in the corpus

• Multiple positive solutions of some Fredholm integral equations arisen from nonlocal boundary-value problems. (2002, background): “Our paper is motivated mainly by the papers [13, 16, 18] and, among others, our results generalize and improve several recent results of the authors [14] and Ma and Castaneda [19].”