Existence and non-existence of solutions for Timoshenko-type equations with variable exponents

Blow Up Of Solutions For Viscoelastic Wave Equations Of Kirchhoff Type With Variable Exponents

“…The local existence and uniqueness of solutions for the problem (1) which can be established by combining arguments of [1,5,11].…”

“…In this part, we will consider the blow up of the solution for problem (1). Firstly, we give following lemmas:…”

Stability Result for a Kirchhoff Beam Equation with Variable Exponent and Time Delay

“…In [4], Antontsev et al, considered the Timoshenko-type equation with variable exponents as follows:…”

Blow-up and decay of solutions for a delayed Timoshenko equation with variable-exponents

“…They proved the local weak solutions and obtained the blow up results for the (1.3) under suitable conditions. Antontsev et al [5] examined the following equation with variable exponents…”