Nonlocal Third Order Boundary Value Problems with Solutions that Change Sign
Abstract
We investigate the existence and the number of solutions for a third order boundary value problem with nonlocal boundary conditions in connection with the oscillatory behavior of solutions. The combination of the shooting method and scaling method is used in the proofs of our main results. Examples are included to illustrate the results.
Keywords:
nonlinear boundary value problems, nonlocal boundary conditions, estimation of the number of solutionsHow to Cite
Smirnov, S. (2014). Nonlocal Third Order Boundary Value Problems with Solutions that Change Sign. Mathematical Modelling and Analysis, 19(2), 145-154. https://doi.org/10.3846/13926292.2014.908792
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Copyright (c) 2014 The Author(s). Published by Vilnius Gediminas Technical University.
This work is licensed under a Creative Commons Attribution 4.0 International License.
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Published
2014-04-15
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Articles
Copyright
Copyright (c) 2014 The Author(s). Published by Vilnius Gediminas Technical University.
License
This work is licensed under a Creative Commons Attribution 4.0 International License.
How to Cite
Smirnov, S. (2014). Nonlocal Third Order Boundary Value Problems with Solutions that Change Sign. Mathematical Modelling and Analysis, 19(2), 145-154. https://doi.org/10.3846/13926292.2014.908792