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Topological transversality: applications to differential equations

Published online by Cambridge University Press:  17 April 2009

T. Sengadir  and
A.K. Pani
T. Sengadir
Affiliation:
Institute of Mathematical SciencesCIT Campus Madras 600113India
A.K. Pani
Affiliation:
Department of MathematicsIndian Institute of TechnologyPowai Bombay 400 076India
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Abstract

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In this paper, existence results for both integro-differential and functional differential equations are discussed using topological transversality arguments. As applications, third and fourth order boundary value problems are considered. For third order problems, an example has been cited to show that our results cover a wider class of problems than Theorem 2.3 of D.J. O'Regan, Topological transversality: Applications to third order boundary value problems, SIAM J. Math. Anal. 18 (1987) 630–641.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 50 , Issue 2 , October 1994 , pp. 251 - 264
Copyright
Copyright © Australian Mathematical Society 1994

References

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