Scientific Research Publishing

Radulescu, V.D. and Repovs, D.D. (2015) Partial Differential Equations with Variable Exponent: Variational Methods and Qualitative Analysis. CRC Press, Taylor & Francis Group ...

ABSTRACT: In this paper we present the notion of the space of bounded p(·)-variation in the sense of Wiener-Korenblum with variable exponent. We prove some properties of this space and we show that ...
Scientific Research Publishing

Radulescu, V.D. and Repovs, D.D. (2015) Partial Differential Equations with Variable Exponent: Variational Methods and Qualitative Analysis. CRC Press, Taylor & Francis Group ...

ABSTRACT: In this paper, we proof some properties of the space of bounded p(·)-variation in Wiener’s sense. We show that a functions is of bounded p(·)-variation in Wiener’s sense with variable ...
Europe PMC

Blow up of solutions of Kirchhoff type viscoelastic wave equations with logarithmic nonlinearity of variable exponents

In this paper, a new Kirchhoff type viscoelastic wave equation with logarithmic nonlinearity of variable exponents is studied. By constructing auxiliary functions and using Young’s inequality and ...