Positive Solutions to Periodic Boundary Value Problems of Nonlinear Fractional Differential Equations at Resonance

By Leggett-Williams norm-type theorem for coincidences due to O’Regan and Zima, we discuss the existence of positive solutions to fractional order with periodic boundary conditions at resonance. At last, an example is presented to demonstrate the main results.

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Main Author: Lei Hu
Format: Article
Language:English
Published: Wiley 2016-01-01
Series:International Journal of Differential Equations
Online Access:http://dx.doi.org/10.1155/2016/9260726
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author Lei Hu
author_facet Lei Hu
author_sort Lei Hu
collection DOAJ
description By Leggett-Williams norm-type theorem for coincidences due to O’Regan and Zima, we discuss the existence of positive solutions to fractional order with periodic boundary conditions at resonance. At last, an example is presented to demonstrate the main results.
format Article
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institution Kabale University
issn 1687-9643
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language English
publishDate 2016-01-01
publisher Wiley
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series International Journal of Differential Equations
spelling doaj-art-436e9295e0654d22b7479d4aa49b27bb2025-02-03T05:50:56ZengWileyInternational Journal of Differential Equations1687-96431687-96512016-01-01201610.1155/2016/92607269260726Positive Solutions to Periodic Boundary Value Problems of Nonlinear Fractional Differential Equations at ResonanceLei Hu0School of Science, Shandong Jiaotong University, Jinan 250357, ChinaBy Leggett-Williams norm-type theorem for coincidences due to O’Regan and Zima, we discuss the existence of positive solutions to fractional order with periodic boundary conditions at resonance. At last, an example is presented to demonstrate the main results.http://dx.doi.org/10.1155/2016/9260726
spellingShingle Lei Hu
Positive Solutions to Periodic Boundary Value Problems of Nonlinear Fractional Differential Equations at Resonance
International Journal of Differential Equations
title Positive Solutions to Periodic Boundary Value Problems of Nonlinear Fractional Differential Equations at Resonance
title_full Positive Solutions to Periodic Boundary Value Problems of Nonlinear Fractional Differential Equations at Resonance
title_fullStr Positive Solutions to Periodic Boundary Value Problems of Nonlinear Fractional Differential Equations at Resonance
title_full_unstemmed Positive Solutions to Periodic Boundary Value Problems of Nonlinear Fractional Differential Equations at Resonance
title_short Positive Solutions to Periodic Boundary Value Problems of Nonlinear Fractional Differential Equations at Resonance
title_sort positive solutions to periodic boundary value problems of nonlinear fractional differential equations at resonance
url http://dx.doi.org/10.1155/2016/9260726
work_keys_str_mv AT leihu positivesolutionstoperiodicboundaryvalueproblemsofnonlinearfractionaldifferentialequationsatresonance