On the asymptotic behavior of solutions of second order parabolic partial differential equations
نویسندگان
چکیده
منابع مشابه
Asymptotic stability and asymptotic solutions of second-order differential equations
We improve, simplify, and extend on quasi-linear case some results on asymptotical stability of ordinary second-order differential equations with complex-valued coefficients obtained in our previous paper [G.R. Hovhannisyan, Asymptotic stability for second-order differential equations with complex coefficients, Electron. J. Differential Equations 2004 (85) (2004) 1–20]. To prove asymptotic stab...
متن کاملOn Approximate Solutions of Second-Order Linear Partial Differential Equations
In this paper, a Chebyshev polynomial approximation for the solution of second-order partial differential equations with two variables and variable coefficients is given. Also, Chebyshev matrix is introduced. This method is based on taking the truncated Chebyshev expansions of the functions in the partial differential equations. Hence, the result matrix equation can be solved and approximate va...
متن کاملOn the stability of linear differential equations of second order
The aim of this paper is to investigate the Hyers-Ulam stability of the linear differential equation$$y''(x)+alpha y'(x)+beta y(x)=f(x)$$in general case, where $yin C^2[a,b],$ $fin C[a,b]$ and $-infty
متن کاملTopics in the theory of positive solutions of second-order elliptic and parabolic partial differential equations
The purpose of the paper is to review a variety of recent developments in the theory of positive solutions of general linear elliptic and parabolic equations of second-order on noncompact Riemannian manifolds, and to point out a number of their consequences. 2000 Mathematics Subject Classification. Primary 35J15; Secondary 35B05, 35C15, 35K10.
متن کاملBoundary Behavior of Solutions to Second Order Parabolic Equations
1. Introduction In this paper we study some properties of solutions to second order parabolic equations. We consider both divergence (D) and non-divergence (ND) operators L:
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: Annales Polonici Mathematici
سال: 1996
ISSN: 0066-2216,1730-6272
DOI: 10.4064/ap-63-3-223-234