On the solvability of nonlinear Goursat problems
نویسندگان
چکیده
منابع مشابه
On the Solvability of Nonlinear, First-Order Boundary Value Problems
This article investigates the existence of solutions to first-order, nonlinear boundary value problems (BVPs) involving systems of ordinary differential equations and two-point boundary conditions. Some sufficient conditions are presented that will ensure solvability. The main tools employed are novel differential inequalities and fixed-point methods. AMS 2000 Classification: 34B15, 34B99
متن کامل2 on the Solvability of Nonlinear Spdes
The Cauchy problem for 1-dimensional nonlinear sto-chastic partial diierential equations is studied. The uniqueness and existence of solutions in H 2 p (T)-space are proved. 1. Introduction The aim of this paper is to prove the unique solvability of the following one-dimensional nonlinear stochastic partial diierential equa-tions(SPDEs): du = a(t; x; u)u 00 + f(t; x)] dt + k (t)u 0 + g k (t; x)...
متن کاملglobal results on some nonlinear partial differential equations for direct and inverse problems
در این رساله به بررسی رفتار جواب های رده ای از معادلات دیفرانسیل با مشتقات جزیی در دامنه های کراندار می پردازیم . این معادلات به فرم نیم-خطی و غیر خطی برای مسایل مستقیم و معکوس مورد مطالعه قرار می گیرند . به ویژه، تاثیر شرایط مختلف فیزیکی را در مساله، نظیر وجود موانع و منابع، پراکندگی و چسبندگی در معادلات موج و گرما بررسی می کنیم و به دنبال شرایطی می گردیم که متضمن وجود سراسری یا عدم وجود سراسر...
On the Solvability of Domino Snake Problems
In this paper we present an extensive treatment of tile connecrability problems, sometimes called domino snake problems. The interest in such problems stems from their relationship to classical tiling problems, which have been established as an important, simple and useful tool for obtaining basic lower bound results in complexity and computability theory. We concentrate on the following two co...
متن کاملOn the Global Solvability of a Class of Fourth-Order Nonlinear Boundary Value Problems
In this paper we prove the global solvability of a class of fourth-order nonlinear boundary value problems that govern the deformation of a Hollomon’s power-law plastic beam subject to an axial compression and nonlinear lateral constrains. For certain ranges of the acting axial compression force, the solvability of the equations follows from the monotonicity of the fourth order nonlinear differ...
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: Proceedings of the Japan Academy, Series A, Mathematical Sciences
سال: 1981
ISSN: 0386-2194
DOI: 10.3792/pjaa.57.247