A uniqueness theorem for the coupled thermoelastic problem

A Uniqueness Theorem of the Solution of an Inverse Spectral Problem

This paper is devoted to the proof of the unique solvability ofthe inverse problems for second-order differential operators withregular singularities. It is shown that the potential functioncan be determined from spectral data, also we prove a uniquenesstheorem in the inverse 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.

A Uniqueness Theorem for the Solution of a Stefan Problem

A uniqueness theorem for a boundary inverse problem

Let DcR' be a bounded domain with a smooth boundary r, A u + q ( x ) u = O in D u = f , u N = h on Iand ~ ( x ) E L ~ ( D ) . From knowledge of the set {f, h} where f runs through C'(r) the coefficient 9(x) is uniquely recovered. Analytical formulae for y(x) are given. Applications are considered. Let D c R3 be a bounded domain with a smooth boundary r, q(x) E L"(D) , A u + q ( x ) u = O in D U...

Uniqueness Theorem for a Cauchy Problem with Hysteresis

The Cauchy problem for an ordinary differential equation coupled with a hysteresis operator is studied. Under physically reasonable assumptions on the forcing term, uniqueness of solutions is shown without assuming Lipschitz continuity of the hysteresis curves. The result is true for any kind of hysteresis operators with monotone curves of motion.