We study a nonlinear elliptic equation with measurable nonlinearity in a nonsmooth domain when the righthand side is a measure. A global Calderón-Zygmund type estimate in variable exponent spaces is ...

This is a preview. Log in through your library . Abstract In the present study, we investigate the solution behavior for a class of fourth-order viscoelastic equation with variable-exponent ...

1 College of Mathematics and Statistics, Northwest Normal University, Lanzhou, China. 2 Faculty of Science, University of Dalanj, Dalanj, Sudan. 3 College of Education, Shendi University, Shendi, ...

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 ...

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 ...

Abstract: For a class of nonlinear systems with disturbances, a new fixed time nonsingular sliding mode control (SMC) method is proposed in this paper. A new fixed time stability lemma is proposed ...

Solving equations with variables on both sides can be a bit tricky compared to linear equations with a variable on one side. However, with the right techniques and practice, finding the solution can ...

A DIFFERENTIAL equation, in its usual form, states an analytical problem with a certain assumption as to the form of the answer. It implies the existence of a dependent variable, capable of being ...

Index laws and the laws of logarithms are essential tools for simplifying and manipulating exponential and logarithmic functions. There is an inverse relationship between exponential and logarithmic ...