Detail publikačního výsledku

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

LOMTATIDZE, A.

Originální název

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

Anglický název

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

Druh

Článek WoS

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

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

Klíčová slova v angličtině

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

Autoři

LOMTATIDZE, A.

Rok RIV

2017

Vydáno

01.02.2016

Nakladatel

Razmadze Mathematical Institute

Místo

Georgia

ISSN

1512-0015

Periodikum

Memoirs on Differential Equations and Mathematical Physics

Svazek

67

Číslo

1

Stát

Gruzie

Strany od

1

Strany do

129

Strany počet

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 on Differential Equations and Mathematical Physics",
  year="2016",
  volume="67",
  number="1",
  pages="1--129",
  issn="1512-0015",
  url="http://rmi.tsu.ge/jeomj/memoirs/"
}