Discussion of a Wiener-Hopf type integro-differential equation
نویسندگان
چکیده
منابع مشابه
A Note on Solving Prandtl's Integro-Differential Equation
A simple method for solving Prandtl's integro-differential equation is proposed based on a new reproducing kernel space. Using a transformation and modifying the traditional reproducing kernel method, the singular term is removed and the analytical representation of the exact solution is obtained in the form of series in the new reproducing kernel space. Compared with known investigations, its ...
متن کاملAn Integro-differential Equation of Volterra Type with Sumudu Transform
In this paper a closed form solution of a fractional integro-differential equation of Volterra type involving Mittag-Leffler function has been obtained using straight forward technique of Sumudu transform. Some particular cases have also been considered.
متن کاملAn Integro-differential Equation for Pricing CDO
where ( ) ( ) + − − − = β α ) ( ) ( ) ( t l t l t M , ( ) ( ) + − − − = ) ( ) ( ) ( t l t l t N α β ; ) (t l is the cumulative default loss at time t ; α and β denote the tranche attachment and detachment points , respectively; ) , ( s t B is the timet price of a pure discount bond maturing at times , and ) , ( s t f the instantaneous forward rate; ω is the payment interval for tranche premium ...
متن کاملAbout stability of a difference analogue of a nonlinear integro-differential equation of convolution type
A nonlinear integro-differential equation of convolution type with order of nonlinearity more than one and a stable trivial solution is considered. The integral in this equation has an exponential kernel and polynomial integrand. The difference analogue of the equation considered is constructed in the form of a difference equation with continuous time and it is shown that this difference analog...
متن کاملThe existence result of a fuzzy implicit integro-differential equation in semilinear Banach space
In this paper, the existence and uniqueness of the solution of a nonlinear fully fuzzy implicit integro-differential equation arising in the field of fluid mechanics is investigated. First, an equivalency lemma is presented by which the problem understudy is converted to the two different forms of integral equation depending on the kind of differentiability of the solution. Then...
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: Applied Scientific Research
سال: 1957
ISSN: 0003-6994,1573-1987
DOI: 10.1007/bf02410459