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

A. Lomtatidze 1  and L. Malaguti 2
  • 1 Department of Mathematical Analysis, Faculty of Natural Sciences of Masaryk University, Janackovo nam. 2a, 662 95 Brno, Czech Republic. E-mail: bacho@math.muni.cz
  • 2 Dipartimento di Matematica, Universita di Modena, Via Campi 213/B, 41100, Modena, Italy. E-mail: malaguti@unimo.it

Abstract

Criteria for the existence and uniqueness of a solution of the boundary value problem

are established, where ƒ :]a, bR2R 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.

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The Georgian Mathematical Journal was founded by the Georgian National Academy of Sciences and A. Razmadze Mathematical Institute, and is jointly produced with De Gruyter.

The concern of this international journal is the publication of research articles of best scientific standard in pure and applied mathematics. Special emphasis is put on the presentation of results obtained by Georgian mathematicians.

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