On nonlocal problems for ordinary differential equations and on a nonlocal parabolic transmission problem
نویسندگان
چکیده
منابع مشابه
global 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...
A Note on the Nonlocal Boundary Value Problem for Hyperbolic-parabolic Differential Equations
The nonlocal boundary value problem d 2 u(t) dt 2 + Au(t) = f (t)(0 ≤ t ≤ 1), du(t) dt + Au(t) = g(t)(−1 ≤ t ≤ 0), u(−1) = αu (µ) + βu (λ) + ϕ, |α|, |β| ≤ 1, 0 < µ, λ ≤ 1 for differential equation in a Hilbert space H with the self-adjoint positive definite operator A is considered. The stability estimates for the solution of this problem are established. In applications, the stab...
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where Ω is a smooth bounded open subset of RN with regular boundary Γ. In problem (1.1) a and f are both continuous functions, whose properties will be introduced when necessary, l : L2(Ω) → R is a nonlinear form, h ∈ L2(0,T ;H−1(Ω)), and T > 0 is some fixed time. System (1.1) is studied, for instance, in papers of Chipot and Lovat [4] in case f = f (x) depends only on the variable x. In this w...
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ژورنال
عنوان ژورنال: Journal of Applied Mathematics and Stochastic Analysis
سال: 1999
ISSN: 1048-9533,1687-2177
DOI: 10.1155/s104895339900026x