The Initial Value Problem for Third and Fourth Order Dispersive Equations in One Space Dimension
نویسندگان
چکیده
منابع مشابه
Initial Value Problems for Fourth-Order Fuzzy Differential Equations by Fuzzy Laplace Transform
This paper is on the solutions of fuzzy initial value problems for fourth-order fuzzy differential equations with positive and negative fuzzy coefficients by fuzzy Laplace transform. Examples are solved. Conclusions are given.
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 کاملInitial value problems for second order hybrid fuzzy differential equations
Usage of fuzzy differential equations (FDEs) is a natural way to model dynamical systems under possibilistic uncertainty. We consider second order hybrid fuzzy differentia
متن کاملOn the existence and uniqueness of solution of initial value problem for fractional order differential equations on time scales
n this paper, at first the concept of Caputo fractionalderivative is generalized on time scales. Then the fractional orderdifferential equations are introduced on time scales. Finally,sufficient and necessary conditions are presented for the existenceand uniqueness of solution of initial valueproblem including fractional order differential equations.
متن کاملInitial value problem for second-order random fuzzy differential equations
*Correspondence: [email protected] 1Division of Computational Mathematics and Engineering, Institute for Computational Science, Ton Duc Thang University, Ho Chi Minh City, Vietnam Full list of author information is available at the end of the article Abstract In this paper the second-order random fuzzy differential equations (SRFDEs) under generalized Hukuhara differentiability are introduced. Un...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Funkcialaj Ekvacioj
سال: 2006
ISSN: 0532-8721
DOI: 10.1619/fesi.49.1