Detail publikace

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

LOMTATIDZE, A.

Anglický název

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

Typ

článek v časopise ve Web of Science, Jimp

Jazyk

en

Originální abstrakt

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.

Anglický abstrakt

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.

Klíčová slova anglicky

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

Vydáno

01.02.2016

Nakladatel

Razmadze Mathematical Institute

Místo

Georgia

ISSN

1512-0015

Ročník

67

Číslo

1

Strany od–do

1–129

Počet stran

129

BIBTEX


@article{BUT128799,
  author="Aleksandre {Lomtatidze},
  title="Theorems on Differential Inequalities and Periodic Boundary Value Problem for Second-Order Ordinary Differential Equations",
  year="2016",
  volume="67",
  number="1",
  month="February",
  pages="1--129",
  publisher=" Razmadze Mathematical Institute",
  address="Georgia",
  issn="1512-0015"
}