Functions uniformly quiet at zero and existence results for one-parameter boundary value problems

G. L. Karakostas; P. Ch. Tsamatos

Annales Polonici Mathematici (2002)

  • Volume: 78, Issue: 3, page 267-276
  • ISSN: 0066-2216

Abstract

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We introduce the notion of uniform quietness at zero for a real-valued function and we study one-parameter nonlocal boundary value problems for second order differential equations involving such functions. By using the Krasnosel'skiĭ fixed point theorem in a cone, we give values of the parameter for which the problems have at least two positive solutions.

How to cite

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G. L. Karakostas, and P. Ch. Tsamatos. "Functions uniformly quiet at zero and existence results for one-parameter boundary value problems." Annales Polonici Mathematici 78.3 (2002): 267-276. <http://eudml.org/doc/280649>.

@article{G2002,
abstract = {We introduce the notion of uniform quietness at zero for a real-valued function and we study one-parameter nonlocal boundary value problems for second order differential equations involving such functions. By using the Krasnosel'skiĭ fixed point theorem in a cone, we give values of the parameter for which the problems have at least two positive solutions.},
author = {G. L. Karakostas, P. Ch. Tsamatos},
journal = {Annales Polonici Mathematici},
keywords = {function quiet and uniformly quiet at zero; nonlocal boundary value problems; two positive solutions; Krasnosel'skij fixed-point theorem},
language = {eng},
number = {3},
pages = {267-276},
title = {Functions uniformly quiet at zero and existence results for one-parameter boundary value problems},
url = {http://eudml.org/doc/280649},
volume = {78},
year = {2002},
}

TY - JOUR
AU - G. L. Karakostas
AU - P. Ch. Tsamatos
TI - Functions uniformly quiet at zero and existence results for one-parameter boundary value problems
JO - Annales Polonici Mathematici
PY - 2002
VL - 78
IS - 3
SP - 267
EP - 276
AB - We introduce the notion of uniform quietness at zero for a real-valued function and we study one-parameter nonlocal boundary value problems for second order differential equations involving such functions. By using the Krasnosel'skiĭ fixed point theorem in a cone, we give values of the parameter for which the problems have at least two positive solutions.
LA - eng
KW - function quiet and uniformly quiet at zero; nonlocal boundary value problems; two positive solutions; Krasnosel'skij fixed-point theorem
UR - http://eudml.org/doc/280649
ER -

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