Analogous function theories for certain singular partial diΘerential equations

global results on some nonlinear partial differential equations for direct and inverse problems

در این رساله به بررسی رفتار جواب های رده ای از معادلات دیفرانسیل با مشتقات جزیی در دامنه های کراندار می پردازیم . این معادلات به فرم نیم-خطی و غیر خطی برای مسایل مستقیم و معکوس مورد مطالعه قرار می گیرند . به ویژه، تاثیر شرایط مختلف فیزیکی را در مساله، نظیر وجود موانع و منابع، پراکندگی و چسبندگی در معادلات موج و گرما بررسی می کنیم و به دنبال شرایطی می گردیم که متضمن وجود سراسری یا عدم وجود سراسر...

Existence of Positive Solutions for Certain Partial Difference Equations

where Pm,n > 0 onN 0 , k, l ∈N0,Ni = {i, i+1, . . .} and i is an arbitrary integer. Throughout this paper, we assume that a, b, c, d are positive constants. A double sequence {Am,n} is said to be a solution of (1.1) if it satisfies (1.1) form≥m0, n≥ n0. A solution {Ai, j} of (1.1) is said to be eventually positive if Ai, j > 0 for all large i and j, and eventually negative if Ai, j < 0 for all ...

The Legendre Wavelet Method for Solving Singular Integro-differential Equations

In this paper, we present Legendre wavelet method to obtain numerical solution of a singular integro-differential equation. The singularity is assumed to be of the Cauchy type. The numerical results obtained by the present method compare favorably with those obtained by various Galerkin methods earlier in the literature.

Compact and strictly singular operators on certain function spaces

The Oscillation of Certain High Order Partial Difference Equations

In this paper, some criteria for the oscillation of the high order partial difference equations of the form T i(xm,n+axm−k1,n−l1−bxm+k2,n+l2) = c(qxm−σ1,n−τ1+pxm+σ2,n+τ2) are established, where c = ±1, i ∈ N = {1, 2, 3, . . .}.