Journals - MOST Wiedzy

Your account

TASK Quarterly
  1. Home Page
  2. TASK Quarterly
  3. Vol. 20 No. 1 (2016)
  4. MULTIPLE SOLUTIONS TO THIRD-ORDER DIFFERENTIAL EQUATIONS WITH DERIVATIVE DEPENDENCE AND DEVIATING ARGUMENTS

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.

Keywords:

boundary value problems with deviating arguments, Stieltjes integral boundary conditions, cone, existence of positive solutions, fixed point theorem

Details

Issue
Vol. 20 No. 1 (2016)
Section
Research article
Published
2016-03-31
DOI:
https://doi.org/10.17466/TQ2016/20.1/L
Licencja:
Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Author Biography

TADEUSZ JANKOWSKI,
Gdansk University of Technology, Department of Differential Equations and Applied Mathematics



Authors

TADEUSZ JANKOWSKI

Gdansk University of Technology, Department of Differential Equations and Applied Mathematics

Download paper

pdf