Blow-up and global existence for a general class of nonlocal nonlinear coupled wave equations

Erkip, Global existence and blow-up of solutions for a general class of doubly dispersive nonlocal nonlinear wave equations, Nonlinear Anal. Sattinger, Saddle Points and Instability

In this paper we aimed to give the global behaviour of solutions to problem with respect to coefficients of the nonlinear and damped terms. Here is the important inequalities which

Henderson, Twin solutions of boundary value problems for ordinary differential equations and finite difference equations, Comput. Kaufmann, Multiple positive solutions for differ-

In the literature, there have been a number of works comparing solutions of a parent equation with those of a model equation describing the unidirectional propagation of long

In [7] the authors have proved the convergence of the semi-discrete pseudospectral Fourier method and they have tested their method on two problems: propagation of a single

A. Members of the class arise as mathematical models for the propagation of waves in a wide variety of situations. We assume that the kernel β is a bell-shaped function satisfying

Erkip, Global existence and blow-up of solutions for a general class of doubly dispersive nonlocal nonlinear wave equations, Nonlinear Anal.. Boussinesq, Theorie des ondes et des

In contrast with classical elasticity, we employ a nonlocal model of constitutive equation, which gives the stress S as a general nonlinear nonlocal function of the strain  = uX...