Electron. J. Differential Equations, Vol. 2017 (2017), No. 117, pp. 1-10.

Existence of infinitely many solutions for fourth-order equations depending on two parameters

Armin Hadjian, Maryam Ramezani

Abstract:
By using variational methods and critical point theory, we establish the existence of infinitely many classical solutions for a fourth-order differential equation. This equation has nonlinear boundary conditions and depends on two real parameters.

Submitted December 21, 2016. Published May 3, 2017.
Math Subject Classifications: 34B15, 58E05.
Key Words: Fourth-order equations; variational methods; infinitely many solutions.

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Armin Hadjian
Department of Mathematics
Faculty of Basic Sciences
University of Bojnord, P.O. Box 1339
Bojnord 94531, Iran
email: hadjian83@gmail.com, a.hadjian@ub.ac.ir
Maryam Ramezani
Department of Mathematics
Faculty of Basic Sciences
University of Bojnord, P.O. Box 1339
Bojnord 94531, Iran
email: mar.ram.math@gmail.com

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