Existence of solutions to singular integral equations
نویسندگان
چکیده
منابع مشابه
Existence and Uniqueness of Solutions to Weakly Singular Integral-Algebraic and Integro-Differential Equations
In this article, we consider systems of integral-algebraic and integro-differential equations with weakly singular kernels. In the first part, we deal with two-dimensional integralalgebraic equations. Next, we analyze Volterra integral equations of the first kind with a degenerate matrix-kernel on the diagonal. Finally, the third part of the work is devoted to the analysis of degenerate integro...
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1. I N T R O D U C T I O N This paper discusses the existence of one (or indeed more) solutions to singular integral equations of the form y(t) = O(t) + k(t, s)[g(y(s)) + h(y(s))] ds, for t ~ [0, 1]; (1.1) here our nonlinearity g + h may be singular at y = 0. In [1], we established the existence of one nonnegative solution to (1.1) using the Leray-Schauder alternative. However, in [1], we had t...
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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 ...
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ژورنال
عنوان ژورنال: Computers & Mathematics with Applications
سال: 1999
ISSN: 0898-1221
DOI: 10.1016/s0898-1221(99)00110-8