on a characteristic problem for a third order pseudoparabolic equation
نویسندگان
چکیده
in this paper, we investigate the goursat problem in the class c21(d)cn0 (d p) c00 (d q)for a third order pseudoparabolic equation. some results are given concerning the existence and uniquenessfor the solution of the suggested problem.
منابع مشابه
on problems reduced to the goursat problem for a third order equation
the aim of the present paper is the investigation of some problems which can be reduced to thegoursat problem for a third order equation. some results and theorems are given concerning the existence anduniqunce for solving the suggested problem.
متن کاملA Periodic Problem of a Semilinear Pseudoparabolic Equation
and Applied Analysis 3 where α > 0, λ > 0, and p > 1. Their proof revealed that if the initial data is small enough, then there exists a unique solution. Once removing the assumption that the initial data is small, then one should addN ≤ 4 with p > 1 orN ≥ 5 with 1 < p ≤ N/ N−4 to assure the existence of a unique solution. Further, from their results, one can also find that the solutions of 1.5...
متن کاملOn a Darboux Problem for a Third Order Hyperbolic Equation with Multiple Characteristics
A Darboux type problem for a model hyperbolic equation of the third order with multiple characteristics is considered in the case of two independent variables. The Banach space ◦ C 2,1 α , α ≥ 0, is introduced where the problem under consideration is investigated. The real number α0 is found such that for α > α0 the problem is solved uniquely and for α < α0 it is normally solvable in Hausdorff’...
متن کاملA Third Order Point Process Characteristic
Second order characteristics, in particular Ripley's K-function, are widely used for the statistical analysis of point patterns. We examine a third order analogue, namely the mean number T(R) of R-close triples of points per unit area. Equivalently this is the expected number of R-close point pairs in an R-neighbourhood of a typical point. Various estimators for this function are proposed and c...
متن کاملA Novel Finite Difference Method of Order Three for the Third Order Boundary Value Problem in ODEs
In this article we have developed third order exact finite difference method for the numerical solution of third order boundary value problems. We constructed our numerical technique without change in structure of the coefficient matrix of the second-order method in cite{Pand}. We have discussed convergence of the proposed method. Numerical experiments on model test problems approves the simply...
متن کاملThe Initial Value Problem for a Third Order Dispersive Equation on the Two-dimensional Torus
|α|=2 2! α! aσ(α)(x)∂ α +~b(x) · ∇+ c(x), ∂t = ∂/∂t, ∂j = ∂/∂xj , ∂ = ∇ = (∂1, ∂2), p(ξ) = ξ1ξ2(ξ1 + ξ2), α = (α1, α2) is a multi-index, |α| = α1 + α2, α! = α1!α2!, σ(α) = (α1 − α2)/2, ~b(x) = (b1(x), b2(x)), and aσ(α), bj(x), c(x) are real-valued smooth functions on T2. Such operators arise in the study of gravity wave of deep water. See [1], [3], [4] and the references therein. The purpose of...
متن کاملمنابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
iranian journal of science and technology (sciences)ISSN 1028-6276
دوره 34
شماره 4 2010
میزبانی شده توسط پلتفرم ابری doprax.com
copyright © 2015-2023