Multiplicity results to a fourth-order boundary value problem for a Sturm-Liouville type equation
Künye
Ghazvehi, A., Afrouzi, G. A. (2020). Multiplicity results to a fourth-order boundary value problem for a Sturm-Liouville type equation. TWMS Journal of Applied and Engineering Mathematics, 10(1), 69-80.Özet
We establish the existence of at least three distinct weak solutions for a fourth-order Sturm-Liouville type problem under appropriate hypotheses. Our main tools are based on variational methods and some critical points theorems. Moreover, when the energy functional is not coercive, an existence result of two distinct solutions is given. We give some examples to illustrate the obtained results.
Kaynak
TWMS Journal of Applied and Engineering MathematicsCilt
10Sayı
1Bağlantı
https://hdl.handle.net/11729/2793http://jaem.isikun.edu.tr/web/index.php/archive/104-vol10no1/492
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