Existence Principles for Second Order Nonresonant Boundary Value Problems

Donal O’regan

doi:10.1155/S1048953394000389

Existence Principles for Second Order Nonresonant Boundary Value Problems

Donal O’regan

Mathematics

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

3 Citations (Scopus)

Abstract

We discuss the two point singular "nonresonant" boundary value problem 1/p(py’)’ = f(t, y, py’) a.e. on [0,1] with y satisfying Sturm Liouville, Neumann, Periodic or Bohr boundary conditions. Here f is an L¹-Caratheodory function and p ∈C[0,1] ⋂ C1(0,1) with p > 0 on (0,1).

Original language	English
Pages (from-to)	487-507
Number of pages	21
Journal	Journal of Applied Mathematics and Stochastic Analysis
Volume	7
Issue number	4
DOIs	https://doi.org/10.1155/S1048953394000389
Publication status	Published - 1994

Keywords

Boundary Value Problems
Existence
Nonresonant
Singular
Sturm Liouville Problems

Access to Document

10.1155/S1048953394000389

Cite this

@article{bdee920a353b46edbe4fb5f2e5f97414,

title = "Existence Principles for Second Order Nonresonant Boundary Value Problems",

abstract = "We discuss the two point singular {"}nonresonant{"} boundary value problem 1/p(py{\textquoteright}){\textquoteright} = f(t, y, py{\textquoteright}) a.e. on [0,1] with y satisfying Sturm Liouville, Neumann, Periodic or Bohr boundary conditions. Here f is an L1-Caratheodory function and p ∈C[0,1] ⋂ C1(0,1) with p > 0 on (0,1).",

keywords = "Boundary Value Problems, Existence, Nonresonant, Singular, Sturm Liouville Problems",

author = "Donal O{\textquoteright}regan",

year = "1994",

doi = "10.1155/S1048953394000389",

language = "English",

volume = "7",

pages = "487--507",

journal = "Journal of Applied Mathematics and Stochastic Analysis",

issn = "1048-9533",

publisher = "Hindawi Publishing Corporation",

number = "4",

}

TY - JOUR

T1 - Existence Principles for Second Order Nonresonant Boundary Value Problems

AU - O’regan, Donal

PY - 1994

Y1 - 1994

N2 - We discuss the two point singular "nonresonant" boundary value problem 1/p(py’)’ = f(t, y, py’) a.e. on [0,1] with y satisfying Sturm Liouville, Neumann, Periodic or Bohr boundary conditions. Here f is an L1-Caratheodory function and p ∈C[0,1] ⋂ C1(0,1) with p > 0 on (0,1).

AB - We discuss the two point singular "nonresonant" boundary value problem 1/p(py’)’ = f(t, y, py’) a.e. on [0,1] with y satisfying Sturm Liouville, Neumann, Periodic or Bohr boundary conditions. Here f is an L1-Caratheodory function and p ∈C[0,1] ⋂ C1(0,1) with p > 0 on (0,1).

KW - Boundary Value Problems

KW - Existence

KW - Nonresonant

KW - Singular

KW - Sturm Liouville Problems

UR - https://www.scopus.com/pages/publications/84878534746

U2 - 10.1155/S1048953394000389

DO - 10.1155/S1048953394000389

M3 - Article

AN - SCOPUS:84878534746

SN - 1048-9533

VL - 7

SP - 487

EP - 507

JO - Journal of Applied Mathematics and Stochastic Analysis

JF - Journal of Applied Mathematics and Stochastic Analysis

IS - 4

ER -

Existence Principles for Second Order Nonresonant Boundary Value Problems

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this