Localized nonlinear functional equations and two sampling problems in signal processing

Localized nonlinear functional equations and two sampling problems in signal processing

Let 1 ≤ p ≤ ∞. In this paper, we consider solving a nonlinear functional equation f(x) = y, where x, y belong to l and f has continuous bounded gradient in an inverseclosed subalgebra of B(l), the Banach algebra of all bounded linear operators on the Hilbert space l. We introduce strict monotonicity property for functions f on Banach spaces l so that the above nonlinear functional equation is s...

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...

Two Point Boundary Value Problems for Nonlinear Functional Differential Equations

This paper is concerned with the existence of solutions of two point boundary value problems for functional differential equations. Specifically, we consider /(f) = L(t, yt) +f(t, y,), Mya + Nyb = <A, where M and N are linear operators on C[0, K\. Growth conditions are imposed on /to obtain the existence of solutions. This result is then specialized to the case where L(t, yt) = A(t)y(t), that i...

Nonlinear and Nonstationary Signal Processing

Nonlinear Phonocardiographic Signal Processing

The aim of this thesis work has been to develop signal analysis methods for a computerized cardiac auscultation system, the intelligent stethoscope. In particular, the work focuses on classification and interpretation of features derived from the phonocardiographic (PCG) signal by using advanced signal processing techniques. The PCG signal is traditionally analyzed and characterized by morpholo...