On the existence of positive solutions for nonlinear differential equations with periodic boundary conditions
By Ferhan Merdivenci Atici, Gusein Sh. Guseinov. 2001
90 citations recorded by the source corpus.
We prove the existence of positive solutions of second-order nonlinear differential equations on a finite interval with periodic boundary conditions and give upper and lower bounds for these positive solutions. Obtained results yield positive periodic solutions of the equation on the whole real axis, provided that the coefficients are periodic.
Subfields: Applied Mathematics, Numerical Analysis
View Paper: https://www.semanticscholar.org/paper/8fb1a50b854043863f04273671ed33370e8f95b1
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In Applied Mathematics
In Numerical Analysis
Citations in the corpus
- Existence, multiplicity, and dependence on a parameter for a periodic boundary value problem (2008, methodology): “As recent examples, we mention the papers of Atici and Guseinov [3], Jiang et al. [5], Li [7], O'Regan and Wang [10], Torres [11], and Zhang and Wang [13].”
- Existence of one-signed periodic solutions of some second-order differential equations via a Krasnoselskii fixed point theorem (2003, methodology): “This result has been extensively employed in the related literature, specially to study several kinds of separated boundary value problems (see for instance in [7,8,13,15] and their references), while for the periodic problem it is more difficult to find references, and only a very recent paper [22]”