Multiple solutions of nonlinear boundary value problems with oscillatory solutions

    S. Ogorodnikova Info
    F. Sadyrbaev Info
DOI: https://doi.org/10.3846/13926292.2006.9637328

Abstract

We consider two second order autonomous differential equations with critical points, which allow the detection of an exact number of solutions to the Dirichlet boundary value problem. Non‐autonomous equations with similar behaviour of solutions also are considered. Estimations from below of the number of solutions to the Dirichlet boundary value problem are given.

First Published Online: 14 Oct 2010

Keywords:

singular points, multiple solutions, heteroclinic solutions, homoclinic solutions

How to Cite

Ogorodnikova, S., & Sadyrbaev, F. (2006). Multiple solutions of nonlinear boundary value problems with oscillatory solutions. Mathematical Modelling and Analysis, 11(4), 413-426. https://doi.org/10.3846/13926292.2006.9637328

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December 31, 2006
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Copyright (c) 2006 The Author(s). Published by Vilnius Gediminas Technical University.

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Published

2006-12-31

Issue

Vol 11 No 4 (2006)

Section

Articles

Copyright

Copyright (c) 2006 The Author(s). Published by Vilnius Gediminas Technical University.

License

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

How to Cite

Ogorodnikova, S., & Sadyrbaev, F. (2006). Multiple solutions of nonlinear boundary value problems with oscillatory solutions. Mathematical Modelling and Analysis, 11(4), 413-426. https://doi.org/10.3846/13926292.2006.9637328

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