On the logarithmic Petrovsky equation with distributed delay: existence, decay, and blow up
Authors
E. Piskin
- Department of Mathematics, Dicle University, Diyarbakir, Turkey.
H. Yuksekkaya
- Department of Mathematics, Hakkari University, Hakkari, Turkey.
J. Ferreira
- Department of Exact Sciences, Federal Fluminense University, Brazil.
M. Shahrouzi
- Department of Mathematics, Jahrom University, Jahrom, P.O. Box 74137-66171, Iran.
Abstract
In this article, we deal with a logarithmic
Petrovsky equation with distributed internal delay. Firstly, we prove the
local existence of solutions utilizing the semigroup theory. Later, we
obtain the global existence of solutions by using the well-depth method.
Moreover, under appropriate assumptions on the weight of the delay and that
of frictional damping, we get the exponential decay. Finally, we establish
the blow up of solutions.
Share and Cite
ISRP Style
E. Piskin, H. Yuksekkaya, J. Ferreira, M. Shahrouzi, On the logarithmic Petrovsky equation with distributed delay: existence, decay, and blow up, Journal of Nonlinear Sciences and Applications, 18 (2025), no. 3, 148--164
AMA Style
Piskin E., Yuksekkaya H., Ferreira J., Shahrouzi M., On the logarithmic Petrovsky equation with distributed delay: existence, decay, and blow up. J. Nonlinear Sci. Appl. (2025); 18(3):148--164
Chicago/Turabian Style
Piskin, E., Yuksekkaya, H., Ferreira, J., Shahrouzi, M.. "On the logarithmic Petrovsky equation with distributed delay: existence, decay, and blow up." Journal of Nonlinear Sciences and Applications, 18, no. 3 (2025): 148--164
Keywords
- Logarithmic Petrovsky equation
- existence
- decay
- blow up
- distributed delay
MSC
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