Blow up of Solutions for the Logarithmic Higher-Order Kirchhoff-Type Equation with Variable Exponent

In this work, we investigate the logarithmic higher-order Kirchhoff-type equation with variable exponents as follows (Equation can be seen in the article). We proved that under suitable conditions on the initial data, a finite-time blow up result for solutions with negative initial energy.

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Journal
Journal of Nepal Mathematical Society
Published
2024-12-31
DOI
https://doi.org/10.3126/jnms.v7i2.73104
Primary Topic
Stability and Controllability of Differential Equations
Type
article
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article

Blow up of Solutions for the Logarithmic Higher-Order Kirchhoff-Type Equation with Variable Exponent

Nebi Yılmaz, Erhan Pi ̧skin
Journal of Nepal Mathematical Society
Stability and Controllability of Differential Equations
article

Blow up of Solutions for the Logarithmic Higher-Order Kirchhoff-Type Equation with Variable Exponent

Nebi Yılmaz, Erhan Pi ̧skin
article en

Abstract

In this work, we investigate the logarithmic higher-order Kirchhoff-type equation with variable exponents as follows (Equation can be seen in the article). We proved that under suitable conditions on the initial data, a finite-time blow up result for solutions with negative initial energy.

Journal of Nepal Mathematical SocietyVol. 7(2)
Dicle University (TR)
Affordable and clean energy
Openalex Percentile: Top 70%
Stability and Controllability of Differential Equations
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Blow up of Solutions for the Logarithmic Higher-Order Kirchhoff-Type Equation with Variable Exponent — Nebi Yılmaz, Erhan Pi ̧skin · Journal of Nepal Mathematical Society (2024) | TGRS Research Map | TGRS