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Positive solution of boundary value problem for semipositone third order differential equations with an increasing homeomorphism and homomorphism
-
Fatma Serap Topal
and
Arzu Denk
Published/Copyright:
September 25, 2013
Abstract.
By employing Krasnoselskii fixed point theorem, we study third order differential equations with an increasing homeomorphism and homomorphism satisfying three kinds of different boundary value conditions. This paper shows the existence of positive solution for semipositone type. That is, we emphasize that the nonlinear term f may take a negative value. Two examples are given to demonstrate the application of our main results.
Received: 2013-03-19
Accepted: 2013-08-22
Published Online: 2013-09-25
Published in Print: 2013-12-01
© 2013 by Walter de Gruyter Berlin Boston
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Articles in the same Issue
- Masthead
- About solvability of boundary value problems for the nonhomogeneous polyharmonic equation in a ball
- Positive solution of boundary value problem for semipositone third order differential equations with an increasing homeomorphism and homomorphism
- On some results on approximation of functions in weighted Lp spaces
- Existence of nearly holomorphic sections on compact Hermitian symmetric spaces
Articles in the same Issue
- Masthead
- About solvability of boundary value problems for the nonhomogeneous polyharmonic equation in a ball
- Positive solution of boundary value problem for semipositone third order differential equations with an increasing homeomorphism and homomorphism
- On some results on approximation of functions in weighted Lp spaces
- Existence of nearly holomorphic sections on compact Hermitian symmetric spaces
