Parabolic Equations with Nonlocal Initial Conditions Page 1 JoURNAL OF MATHEMATICAL
ANALysis AND APPLICATIONs 179, 630–637 (1993) Exponential Decay of Solutions of …

A large class of semilinear parabolic equations satisfy the maximum bound principle (MBP)
in the sense that the time-dependent solution preserves for any time a uniform pointwise …

Numerical solution of hyperbolic partial differential equation with an integral condition
continues to be a major research area with widespread applications in modern physics and …

Many physical phenomena are modeled by nonclassical parabolic boundary value
problems with nonlocal boundary conditions. In place of the classical specification of …

Various processes in the natural sciences and engineering lead to the nonclassical
parabolic initial boundary value problems which involve nonlocal integral terms over the …

Certain problems arising in engineering are modeled by nonstandard parabolic initial‐
boundary value problems in one space variable, which involve an integral term over the …

In this paper we investigate the existence, multiplicity, and asymptotic behavior of solutions
for a reaction diffusion equation under nonlocal boundary and nonlocal initial conditions. A …

This paper is concerned with some dynamical property of a reaction-diffusion equation with
nonlocal boundary condition. Under some conditions on the kernel in the boundary …

The parabolic problems with non-classical conditions are discussed in a reproducing kernel
space in this paper. A reproducing kernel space is constructed, in which the non-classical …

The purpose of this paper is to present some iterative methods for numerical solutions of a
class of nonlinear reaction–diffusion equations with nonlocal boundary conditions. Using the …