Maximal monotone operators in nonreflexive Banach spaces and nonlinear integral equations of Hammerstein type
نویسندگان
چکیده
منابع مشابه
Maximal Monotone Operators in Nonreflexive Banach Spaces and Nonlinear Integral Equations of Hammerstein Type by Haim Brezis and Felix
Let Y be a Banach space, Y* its conjugate space, X a weak*-dense closed subspace of Y* with the induced norm. We denote the pairing between x in X and ƒ in 7 by (y, x). If T is a mapping from X into 2 F , T is said to be monotone if for each pair of elements [x9 y] and [u, w] of G(T)9 the graph of T, we have (y—w, x—w)^0. Tis said to be maximal monotone from X to 2 F if Tis monotone and maximal...
متن کاملexistence and approximate $l^{p}$ and continuous solution of nonlinear integral equations of the hammerstein and volterra types
بسیاری از پدیده ها در جهان ما اساساً غیرخطی هستند، و توسط معادلات غیرخطی بیان شده اند. از آنجا که ظهور کامپیوترهای رقمی با عملکرد بالا، حل مسایل خطی را آسان تر می کند. با این حال، به طور کلی به دست آوردن جوابهای دقیق از مسایل غیرخطی دشوار است. روش عددی، به طور کلی محاسبه پیچیده مسایل غیرخطی را اداره می کند. با این حال، دادن نقاط به یک منحنی و به دست آوردن منحنی کامل که اغلب پرهزینه و ...
15 صفحه اولANALYTICAL-NUMERICAL SOLUTION FOR NONLINEAR INTEGRAL EQUATIONS OF HAMMERSTEIN TYPE
Using the mean-value theorem for integrals we tried to solved the nonlinear integral equations of Hammerstein type . The mean approach is to obtain an initial guess with unknown coefficients for unknown function y(x). The procedure of this method is so fast and don't need high cpu and complicated programming. The advantages of this method are that we can applied for those integral equations whi...
متن کاملNonlinear Elliptic Functional Equations in Nonreflexive Banach Spaces
If the coefficient functions Aa have at most polynomial growth in u and its derivatives, we have shown in [ l ] how existence theorems for solutions of variational boundary value problems for the equation A (u) —f may be obtained from monotonicity assumptions on the nonlinear Dirichlet form of A, with extensions to weaker ellipticity assumptions in [3], [4], [9], and [15]. These results extend ...
متن کاملExistence and Perturbation Theorems for Nonlinear Maximal Monotone Operators in Banach Spaces by Felix E. Browder
Such a set G is said to be maximal monotone if it is maximal among monotone sets in the sense of set inclusion, and a mapping T is said to be maximal monotone if its graph G(T) is a maximal monotone set. For reflexive Banach spaces X and mappings T with D(T)~X, the basic result obtained independently by Browder [2] and Minty [20] states that if T is a monotone operator from D(T)=X to X* which i...
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ژورنال
عنوان ژورنال: Bulletin of the American Mathematical Society
سال: 1975
ISSN: 0002-9904
DOI: 10.1090/s0002-9904-1975-13645-7