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Multiplicity Results for a Second Order Threepoint Boundary Value Problem at Resonance(PDF)

《南京理工大学学报》(自然科学版)[ISSN:1005-9830/CN:32-1397/N]

Issue:
1999年05期
Page:
458-461
Research Field:
Publishing date:

Info

Title:
Multiplicity Results for a Second Order Threepoint Boundary Value Problem at Resonance
Author(s):
Zhang Xiaomei
Base Department,Nantong Institute of Technology,Nantong 226007
Keywords:
differential equat ions solut ions ( mathemat ics) boundary-value problems upper and lower solutions coincidence topolog ical degree
PACS:
O175.8
DOI:
-
Abstract:
This paper w ill studies the mult iplicity results for the second order three-point boundary v alue problem at resonance x d+ f ( t , x , x") = s , x ( 0) = x ( G) , x‘( 1) = 0, ( 0 < G < 1) where s is a real parameter. T he method we use is Leray-Schauder cont inuat ion theorem and upper and lower solutions method.

References:

1 Rachvnko va I, stanek S. Topo logical degree method in functio nal boundar y v alue problems at resonance.Nonlinear Analysis, 1996, 27: 271~ 285
2 Mawhin J. Topolog ical degr ee met hods in nonlinear boundary v alue problem. CBMS40. Providence R I : Amer Math Soc, 1979
3 Nkashama M. N. A generalized upper and lower solutio ns method and multiplicity results of perio dic solutio ns of nonlinear first order ordinary differential equations. J Math Anal Appl 1989, 140:381~ 395

Memo

Memo:
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Last Update: 2013-03-29