Explicit estimates for solutions of nonlinear radiation-type problems

Explicit Solutions for Queueing Problems

Explicit localization estimates for spline-type spaces

holds for every c ∈ `, and the functions {fk}k satisfy an spatial localization condition. In a spline-type space any function in f ∈ S has a unique expansion f = ∑ k ckfk. Moreover the coefficients are given by ck = 〈f, gk〉, where {gk}k ⊆ S is the dual basis, a set of functions characterized by the relation 〈gk, fj〉 = δk,j . These spaces provide a very natural framework for the sampling problem...

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...

Explicit Solutions of Generalized Nonlinear Boussinesq Equations

By considering the Adomian decomposition scheme, we solve a generalized Boussinesq equation. The method does not need linearization or weak nonlinearly assumptions. By using this scheme, the solutions are calculated in the form of a convergent power series with easily computable components. The decomposition series analytic solution of the problem is quickly obtained by observing the existence ...

Explicit Solutions for a Class of Nonlinear PDE that Arise in Allocation Problems

To exploit large deviation approximations for allocation and occupancy problems one must solve a deterministic optimal control problem (or equivalently, a calculus of variations problem). As this paper demonstrates, and in sharp contrast to the great majority of large deviation problems for processes with state dependence, for allocation problems one can construct more-or-less explicit solution...