منابع مشابه
Initial-Boundary Value Problem for Hyperbolic Equations
where Ji = 0 for x0 < 0. The problem is to find necessary and sufficient conditions on B(x, B) such that the initial-boundary value problem (1), (2), (3) is well-posed. Note that all theorems that a;re formulated below will also apply to the case when (1) is a general hyperbolic equation or a hyperbolic system of equations of arbitrary order provided that all components of the characteristic co...
متن کاملA characteristic initial value problem for a strictly hyperbolic system
Consider the system Autt +Cuxx = f(x,t), (x,t) ∈ T for u(x,t) in R2, where A and C are real constant 2× 2 matrices, and f is a continuous function in R2. We assume that detC ≠ 0 and that the system is strictly hyperbolic in the sense that there are four distinct characteristic curves Γi, i= 1, . . . ,4, in xt-plane whose gradients (ξ1i,ξ2i) satisfy det[Aξ2 1i+ Cξ2 2i]= 0. We allow the character...
متن کاملThe Initial Value Problem for Some Hyperbolic-dispersive System
We consider the initial value problem for some nonlinear hyperbolic and dispersive systems in one space dimension. Combining the classical energy method and the smoothing estimates for the Airy equation, we guarantee the time local well-posedness for this system. We also discuss the extension of our results to more general hyperbolic-dispersive system.
متن کاملPositive solutions for discrete fractional initial value problem
In this paper, the existence and uniqueness of positive solutions for a class of nonlinear initial value problem for a finite fractional difference equation obtained by constructing the upper and lower control functions of nonlinear term without any monotone requirement .The solutions of fractional difference equation are the size of tumor in model tumor growth described by the Gompertz f...
متن کاملA distinct numerical approach for the solution of some kind of initial value problem involving nonlinear q-fractional differential equations
The fractional calculus deals with the generalization of integration and differentiation of integer order to those ones of any order. The q-fractional differential equation usually describe the physical process imposed on the time scale set Tq. In this paper, we first propose a difference formula for discretizing the fractional q-derivative of Caputo type with order and scale index . We es...
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: Journal of Mathematical Analysis and Applications
سال: 1986
ISSN: 0022-247X
DOI: 10.1016/0022-247x(86)90192-7