Asymptotics of Solution of a Boundary Value Problem for Quasilinear Non-Classical Type Dierential Equation of Arbitrary Odd Order
Journal Title: Journal of Advances in Mathematics and Computer Science - Year 2017, Vol 22, Issue 4
Abstract
In a rectangle domain, a boundary value problem is considered for a singularly perturbed quasilinear non-classical type equation of arbitrary odd order, degenerating into a hyperbolic equation. Asymptotic expansion of the generalized solution of the problem under consideration is constructed to within any positive degree of a small parameter, and the residual term is estimated.
Authors and Affiliations
Mahir M. Sabzaliev, Ilhama M. Sabzalieva
On the Notes of Quasi-Boundary Value Method for Solving Cauchy-Dirichlet Problem of the Helmholtz Equation
The Cauchy-Dirichlet problem of the Helmholtz equation yields unstable solution, which when solved with the Quasi-Boundary Value Method (Q-BVM) for a regularization parameter = 0. At this point of regularization parame...
Finite Time Blow-up, Extinction and Non-extinction of Solutions for an Evolutionary Problem
In this paper we consider a class of p-biharmonic parabolic equation with nonlocal nonlinearities and Neumann boundary condition. By constructing suitable auxiliary functions and using differential inequalities, we give...
Stability of m-Jensen Functional Equations
In this research we set a functional equation of Jensen type which comes from the so called Jensen m-convex inequality. We formulate and prove properties of its solutions and give a characterization of them under certain...
Predictive Estimator for Simple Regression
The predictive estimator of the gradient in simple regression is assumed to be the product of the gradient given by least-squares fitting and a constant (ρ). The results of numerical simulations show that when generalize...
Design and Implementation of Photo-induced Heart Beat Monitoring System
This study presents the design of photo-induced heart beat monitor that uses cheap and readily available materials unlike most of all the rather sophisticated heart beat monitoring devices that uses complicated designs a...