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Your search keyword '"Jan, Rashid"' showing total 2 results
Start Over Author "Jan, Rashid" Topic 35l70 Topic blowing up (algebraic geometry) Publication Year Range Last 3 years
2 results on '"Jan, Rashid"'

1. Blow up, growth, and decay of solutions for a class of coupled nonlinear viscoelastic Kirchhoff equations with distributed delay and variable exponents.

Author

Boulaaras, Salah, Choucha, Abdelbaki, Ouchenane, Djamel, and Jan, Rashid

Subjects
EXPONENTS, EQUATIONS, DELAY differential equations, LYAPUNOV exponents, INTEGRAL inequalities, BLOWING up (Algebraic geometry), PARTIAL differential equations
Abstract

In this work, we consider a quasilinear system of viscoelastic equations with dispersion, source, distributed delay, and variable exponents. Under a suitable hypothesis the blow-up and growth of solutions are proved, and by using an integral inequality due to Komornik the general decay result is obtained in the case of absence of the source term f 1 = f 2 = 0 . [ABSTRACT FROM AUTHOR]

Published
2024
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2. Blow-up and lifespan of solutions for elastic membrane equation with distributed delay and logarithmic nonlinearity.

Author

Boulaaras, Salah, Jan, Rashid, Choucha, Abdelbaki, Zaraï, Aderrahmane, and Benzahi, Mourad

Subjects
*BLOWING up (Algebraic geometry), *NONLINEAR equations, *EQUATIONS, *PARTIAL differential equations
Abstract

We examine a Kirchhoff-type equation with nonlinear viscoelastic properties, characterized by distributed delay, logarithmic nonlinearity, and Balakrishnan–Taylor damping terms (elastic membrane equation). Under appropriate hypotheses, we establish the occurrence of solution blow-up. [ABSTRACT FROM AUTHOR]

Published
2024
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