Quadratic forms and nonlinear non-resonant singular second order boundary value problems of limit circle type

R. P. Agarwal; D. O'Regan; V. Lakshmikantham

doi:10.4171/zaa/1041

Quadratic forms and nonlinear non-resonant singular second order boundary value problems of limit circle type

R. P. Agarwal
, D. O'Regan
, V. Lakshmikantham

Mathematics

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

9 Citations (Scopus)

Abstract

New existence results are presented for non-resonant second order singular boundary value problems 1/p(t)(p(t)y′(t))′ + τ(t)y(t) = λ f (t, y(t)) a.e. on [0,1] limt→0+ p(t)y′(t) = y(1) = 0 where one of the endpoints is regular and the other may be singular or of limit circle type.

Original language	English
Pages (from-to)	727-737
Number of pages	11
Journal	Zeitschrift für Analysis und ihre Anwendungen
Volume	20
Issue number	3
DOIs	https://doi.org/10.4171/zaa/1041
Publication status	Published - 2001

Keywords

Existence criteria for solutions
Points of limit circle type
Singular and non-resonant problems

Access to Document

10.4171/zaa/1041

Cite this

@article{b60a5917f948449db24adc88e14a1fbe,

title = "Quadratic forms and nonlinear non-resonant singular second order boundary value problems of limit circle type",

abstract = "New existence results are presented for non-resonant second order singular boundary value problems 1/p(t)(p(t)y′(t))′ + τ(t)y(t) = λ f (t, y(t)) a.e. on [0,1] limt→0+ p(t)y′(t) = y(1) = 0 where one of the endpoints is regular and the other may be singular or of limit circle type.",

keywords = "Existence criteria for solutions, Points of limit circle type, Singular and non-resonant problems",

author = "Agarwal, \{R. P.\} and D. O'Regan and V. Lakshmikantham",

year = "2001",

doi = "10.4171/zaa/1041",

language = "English",

volume = "20",

pages = "727--737",

journal = "Zeitschrift f{\"u}r Analysis und ihre Anwendungen",

issn = "0232-2064",

publisher = "European Mathematical Society Publishing House",

number = "3",

}

TY - JOUR

T1 - Quadratic forms and nonlinear non-resonant singular second order boundary value problems of limit circle type

AU - Agarwal, R. P.

AU - O'Regan, D.

AU - Lakshmikantham, V.

PY - 2001

Y1 - 2001

N2 - New existence results are presented for non-resonant second order singular boundary value problems 1/p(t)(p(t)y′(t))′ + τ(t)y(t) = λ f (t, y(t)) a.e. on [0,1] limt→0+ p(t)y′(t) = y(1) = 0 where one of the endpoints is regular and the other may be singular or of limit circle type.

AB - New existence results are presented for non-resonant second order singular boundary value problems 1/p(t)(p(t)y′(t))′ + τ(t)y(t) = λ f (t, y(t)) a.e. on [0,1] limt→0+ p(t)y′(t) = y(1) = 0 where one of the endpoints is regular and the other may be singular or of limit circle type.

KW - Existence criteria for solutions

KW - Points of limit circle type

KW - Singular and non-resonant problems

UR - https://www.scopus.com/pages/publications/26444517323

U2 - 10.4171/zaa/1041

DO - 10.4171/zaa/1041

M3 - Article

SN - 0232-2064

VL - 20

SP - 727

EP - 737

JO - Zeitschrift für Analysis und ihre Anwendungen

JF - Zeitschrift für Analysis und ihre Anwendungen

IS - 3

ER -

Quadratic forms and nonlinear non-resonant singular second order boundary value problems of limit circle type

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this