Existence Principles for Singular Vector Nonlocal Boundary Value Problems with φ -Laplacian and their Applications

Staněk, Svatoslav

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica (2011)

  • Volume: 50, Issue: 1, page 99-118
  • ISSN: 0231-9721

Abstract

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Existence principles for solutions of singular differential systems ( φ ( u ' ) ) ' = f ( t , u , u ' ) satisfying nonlocal boundary conditions are stated. Here φ is a homeomorphism ℝ N onto ℝ N and the Carathéodory function f may have singularities in its space variables. Applications of the existence principles are given.

How to cite

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Staněk, Svatoslav. "Existence Principles for Singular Vector Nonlocal Boundary Value Problems with $\phi $-Laplacian and their Applications." Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 50.1 (2011): 99-118. <http://eudml.org/doc/196832>.

@article{Staněk2011,
abstract = {Existence principles for solutions of singular differential systems$ (\phi (u^\{\prime \}))^\{\prime \}=f(t,u,u^\{\prime \}) $ satisfying nonlocal boundary conditions are stated. Here $\phi $ is a homeomorphism $\mathbb \{R\}^N$ onto $\mathbb \{R\}^N$ and the Carathéodory function $f$ may have singularities in its space variables. Applications of the existence principles are given.},
author = {Staněk, Svatoslav},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
keywords = {singular boundary value problem; system of differential equations; nonlocal boundary condition; existence principle; positive solution; $\phi $-Laplacian; Leray–Schauder degree; singular boundary value problems; nonlocal boundary conditions; existence principle; -Laplacian, Leray-Schauder degree},
language = {eng},
number = {1},
pages = {99-118},
publisher = {Palacký University Olomouc},
title = {Existence Principles for Singular Vector Nonlocal Boundary Value Problems with $\phi $-Laplacian and their Applications},
url = {http://eudml.org/doc/196832},
volume = {50},
year = {2011},
}

TY - JOUR
AU - Staněk, Svatoslav
TI - Existence Principles for Singular Vector Nonlocal Boundary Value Problems with $\phi $-Laplacian and their Applications
JO - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
PY - 2011
PB - Palacký University Olomouc
VL - 50
IS - 1
SP - 99
EP - 118
AB - Existence principles for solutions of singular differential systems$ (\phi (u^{\prime }))^{\prime }=f(t,u,u^{\prime }) $ satisfying nonlocal boundary conditions are stated. Here $\phi $ is a homeomorphism $\mathbb {R}^N$ onto $\mathbb {R}^N$ and the Carathéodory function $f$ may have singularities in its space variables. Applications of the existence principles are given.
LA - eng
KW - singular boundary value problem; system of differential equations; nonlocal boundary condition; existence principle; positive solution; $\phi $-Laplacian; Leray–Schauder degree; singular boundary value problems; nonlocal boundary conditions; existence principle; -Laplacian, Leray-Schauder degree
UR - http://eudml.org/doc/196832
ER -

References

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