1 Laboratory of Nonlinear Analysis, Vasyl' Stus Donetsk National University, Vinnytsia, Ukraine 2 Department of Applied Analysis, Institut für Mathematik, Humboldt Universität zu Berlin, Berlin, ...

In this paper, based on the Lie symmetry method, the symmetry group of a hyperbolic Monge-Ampère equation is obtained first, then the one-dimensional optimal system of the obtained symmetries is given ...

In this paper, we study oscillatory properties of solutions for the nonlinear impulsive hyperbolic equations with several delays. We establish sufficient conditions for oscillation of all solutions.

Abstract: This article investigates the problem of fuzzy boundary (FB) control for nonlinear second-order hyperbolic partial differential equation systems (HPDESs) with time-varying delay (TVD).

Abstract: The paper investigates the solvability of a nonlocal boundary value problem for a fourth-order hyperbolic equation with impulsive actions. The considered nonlocal boundary value problem is ...

Introduction: Soft clay foundations exhibit complex nonlinear consolidation characteristics under cyclic loading, which significantly affects long-term stability. Methods: This study proposes an ...

Abstract. For a two–dimensional time nonlinear hyperbolic equation with a power nonlinearity, a threshold exponent depending on the space dimension is presented. Furthermore, the analysis is extended ...

This paper presents a time-domain formulation called Explicit Green's approach (ExGA) linear θ method for the solution of the bioheat equation. Starting from the hyperbolic bioheat equation, which ...

An illustration of a magnifying glass. An illustration of a magnifying glass.

Polaritons in layered materials—including van der Waals materials—exhibit hyperbolic dispersion and strong field confinement, which makes them highly attractive for applications including optical ...