J 2012

On some boundary value problems for second order nonlinear differential equations

DOŠLÁ, Zuzana; Mauro MARINI and Serena MATUCCI

Basic information

Original name

On some boundary value problems for second order nonlinear differential equations

Name in Czech

O některých okajových úlohách pro nelinární diferenční rovnice 2. řádu

Authors

DOŠLÁ, Zuzana (203 Czech Republic, guarantor, belonging to the institution); Mauro MARINI (380 Italy) and Serena MATUCCI (380 Italy)

Edition

Math. Bohemica, Praha, 2012, 0862-7959

Other information

Language

English

Type of outcome

Article in a journal

Field of Study

10101 Pure mathematics

Country of publisher

Czech Republic

Confidentiality degree

is not subject to a state or trade secret

RIV identification code

RIV/00216224:14310/12:00057667

Organization unit

Faculty of Science

Keywords in English

Boundary value problem; p-Laplacian; half-linear equation; positive solution; uniqueness; decaying solution; principal solution

Tags

Tags

International impact, Reviewed
Changed: 18/10/2012 13:17, prof. RNDr. Zuzana Došlá, DSc.

Abstract

In the original language

We investigate two boundary value problems for the second order differential equation with $p$-Laplacian. We give necessary and sufficient conditions which guarantee the existence of a unique (or at least one) positive solution, satisfying certain boundary conditions.

In Czech

Jsou vyšetřovány dva okrajové problémy pro diferenční rovnici s p-Laplaciánem. Jsou prezentovány nutné a postačující podmínky pro existenci jediného (resp. alespoň jednoho) kladného řešení splňujícího jistou okrajovou podmínku.

Links

GA201/08/0469, research and development project
Name: Oscilační a asymptotické vlastnosti řešení diferenciálních rovnic
Investor: Czech Science Foundation, Oscillatory and asymptotic properties of solutions of differential equations