Goursat’s problem on the plane for a quasilinear hyperbolic equation

نویسندگان

چکیده

A classical solution of the problem for a quasilinear hyperbolic equation in case two independent variables with given conditions desired function on characteristic lines is obtained. The reduced to system equations completely continuous operator. We constructed unique by method successive approximations and showed necessary sufficient smoothness matching functions.

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Resonance for Quasilinear Hyperbolic Equation

git u) = c(8ft(ii), ? = x dt, where c(£) is a piecewise continuous function and h(u) is a smooth positive function whose first derivative does not change signs. The external effect is assumed to be finite; for simplicity, we suppose also that c(£) has compact support. Our main interest is the behavior of nonlinear waves when the resonance occurs, that is, when the characteristic speed f(u) is c...

متن کامل

the algorithm for solving the inverse numerical range problem

برد عددی ماتریس مربعی a را با w(a) نشان داده و به این صورت تعریف می کنیم w(a)={x8ax:x ?s1} ، که در آن s1 گوی واحد است. در سال 2009، راسل کاردن مساله برد عددی معکوس را به این صورت مطرح کرده است : برای نقطه z?w(a)، بردار x?s1 را به گونه ای می یابیم که z=x*ax، در این پایان نامه ، الگوریتمی برای حل مساله برد عددی معکوس ارانه می دهیم.

15 صفحه اول

Existence Results for a Dirichlet Quasilinear Elliptic Problem

In this paper, existence results of positive classical solutions for a class of second-order differential equations with the nonlinearity dependent on the derivative are established. The approach is based on variational methods.

متن کامل

On a FEM-BEM Formulation for an Exterior Quasilinear Problem in the Plane

We use a version of the FEM–BEM method introduced by Costabel [Boundary Elements IX, Vol. 1, C. A. Brebbia et al., eds., Springer-Verlag, 1987] and Han [J. Comput. Math., 8 (1990), pp. 223–232] to discretize an exterior quasilinear problem. We provide error estimates for the Galerkin method and propose a fully discrete scheme based on simple quadrature formulas. Furthermore, we show that these ...

متن کامل

on the goursat problem for a linear partial differential equation

in this paper, the goursat problem of a general form for a linear partial differential equation is investigated with the help of the riemann function method. some results are given concerning the existence and uniqueness for the solution of the suggested problem.

متن کامل

ذخیره 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: ??????? ???????????? ???????? ???? ????????

سال: 2022

ISSN: ['2524-2431', '1561-8323']

DOI: https://doi.org/10.29235/1561-8323-2022-66-4-391-396