Cauchy problem for the hyperbolic equation with a small parameter

Nvestigation of a Boundary Layer Problem for Perturbed Cauchy-Riemann Equation with Non-local Boundary Condition

Boundary layer problems (Singular perturbation problems) more have been applied for ordinary differential equations. While this theory for partial differential equations have many applications in several fields of physics and engineering. Because of complexity of limit and boundary behavior of the solutions of partial differential equations these problems considered less than ordinary case. In ...

Inhomogeneous Two-Parameter Abstract Cauchy Problem

Time Estimates for the Cauchy Problem for a Third-order Hyperbolic Equation

A classical solution is considered for the Cauchy problem: (utt −∆u)t +utt − α∆u = f(x,t), x ∈ R3, t > 0; u(x,0) = f0(x), ut(x,0) = f1(x), and utt(x) = f2(x), x ∈R3, where α= const, 0<α< 1. The above equation governs the propagation of time-dependent acoustic waves in a relaxingmedium. A classical solution of this problem is obtained in the form of convolutions of the right-hand side and the in...

inhomogeneous two-parameter abstract cauchy problem

the algorithm for solving the inverse numerical range problem

برد عددی ماتریس مربعی a را با w(a) نشان داده و به این صورت تعریف می کنیم w(a)={x8ax:x ?s1} ، که در آن s1 گوی واحد است. در سال 2009، راسل کاردن مساله برد عددی معکوس را به این صورت مطرح کرده است : برای نقطه z?w(a)، بردار x?s1 را به گونه ای می یابیم که z=x*ax، در این پایان نامه ، الگوریتمی برای حل مساله برد عددی معکوس ارانه می دهیم.