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Multiple Solutions to Third-Order Differential Equations with Derivative Dependence and Deviating Arguments

Abstract

In this paper, we give some new results for multiplicity of positive (nonnegative) solutions for third-order differential equations with derivative dependence, deviating arguments and Stieltjes integral boundary conditions. We discuss our problem with advanced argument α and arbitrary β ∈ C([0,1],[0,1]), see problem (2). It means that argument β can change the character on [0,1], so β can be delayed in some set J ⊂ [0,1] and advanced in [0,1] \ J. Four examples illustrate the main results.

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Category:
Articles
Type:
artykuły w czasopismach recenzowanych i innych wydawnictwach ciągłych
Published in:
TASK Quarterly no. 20, pages 85 - 98,
ISSN: 1428-6394
Language:
English
Publication year:
2016
Bibliographic description:
Jankowski T.: Multiple Solutions to Third-Order Differential Equations with Derivative Dependence and Deviating Arguments// TASK Quarterly. -Vol. 20., iss. 1 (2016), s.85-98
Sources of funding:
  • COST_FREE
Verified by:
Gdańsk University of Technology

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