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On the existence of solutions for singular boundary value problem of third-order differential equations

In: Mathematica Slovaca, vol. 60, no. 4
Feng Wang - Yujun Cui

Details:

Year, pages: 2010, 485 - 494
Keywords:
singular, nontrivial solutions, positive solutions, topology degree
About article:
The singular boundary value problems of third-order differential equations

$$ -u'''(t)=h(t)f(t,u(t)),    t\in(0,1), $$

$$ u(0)=u'(0)=0,   u'(1)=α u'(η) $$

are considered under some conditions concerning the first eigenvalues corresponding to the relevant linear operators, where $h(t)$ is allowed to be singular at both $t=0$ and $t=1$, and $f$ is not necessary to be nonnegative. The existence results of nontrivial solutions and positive solutions are given by means of the topological degree theory.
How to cite:
ISO 690:
Wang, F., Cui, Y. 2010. On the existence of solutions for singular boundary value problem of third-order differential equations. In Mathematica Slovaca, vol. 60, no.4, pp. 485-494. 0139-9918. DOI: https://doi.org/10.2478/s12175-010-0027-5

APA:
Wang, F., Cui, Y. (2010). On the existence of solutions for singular boundary value problem of third-order differential equations. Mathematica Slovaca, 60(4), 485-494. 0139-9918. DOI: https://doi.org/10.2478/s12175-010-0027-5
About edition: