Publication detail

Theorems on Differential Inequalities and Periodic Boundary Value Problem for Second-Order Ordinary Differential Equations

LOMTATIDZE, A.

Original Title

Theorems on Differential Inequalities and Periodic Boundary Value Problem for Second-Order Ordinary Differential Equations

Type

journal article in Web of Science

Language

English

Original Abstract

The aim of the present article is to get efficient conditions for the solvability of the periodic boundary value problem u′′= f(t; u); u(0) = u(!); u′(0) = u′(!); where the function f : [0; !]]0;+1[! R satisfies local Carathéodory conditions, i.e., it may have “singularity” for u = 0.

Keywords

Periodic boundary value problem, positive solution, singular equation, solvability, unique solvability, stability

Authors

LOMTATIDZE, A.

Released

1. 2. 2016

Publisher

Razmadze Mathematical Institute

Location

Georgia

ISBN

1512-0015

Periodical

Memoirs Diff. Equat. Math. Phys

Year of study

67

Number

1

State

Georgia

Pages from

1

Pages to

129

Pages count

129

URL

http://rmi.tsu.ge/jeomj/memoirs/

BibTex

@article{BUT128799,
  author="Aleksandre {Lomtatidze}",
  title="Theorems on Differential Inequalities and Periodic Boundary Value Problem for Second-Order Ordinary Differential Equations",
  journal="Memoirs Diff. Equat.  Math. Phys",
  year="2016",
  volume="67",
  number="1",
  pages="1--129",
  issn="1512-0015",
  url="http://rmi.tsu.ge/jeomj/memoirs/"
}