Ayazoglu, Rabil; Akkoyunlu, Ebubekir

This paper is concerned with the blow-up time of the solutions to an integro-differential problem of parabolic type with variable growth if blow-up occurs. By using the differential inequality technique, we obtain lower bounds for the blow-up time and some global existence results under some conditions to variable exponent of reaction, memory kernel, and initial value.

AtıfScopus1·WoS1

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Ayazoglu, Rabil; Akkoyunlu, Ebubekir; Aydin, Tuba Agirman

This paper is concerned with the blow-up of the solutions to a semilinear heat equation with a reaction given by parametric variable sources. Some conditions to parameters and exponents of sources are given to obtain lower–upper bounds for the time of blow-up and some global existence results.

AtıfScopus3·WoS2·OpenAlex2

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