On fundamental solution of differential equation with time delay in Banach space
نویسندگان
چکیده
منابع مشابه
Positive Solution of Singular Fractional Differential Equation in Banach Space
Recently, fractional differential equations have been investigated extensively. The motivation for those works rises from both the development of the theory of fractional calculus itself and the applications of such constructions in various sciences such as physics, chemistry, aerodynamics, and electrodynamics of the complex medium. For examples and details, see 1–5 and the references therein. ...
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 کاملFundamental Theory of Contingent Differential Equations in Banach Space
For a contingent differential equation that takes values in the closed, convex, nonempty subsets of a Banach space E, we prove an existence theorem and we investigate the extendability of solutions and the closedness and continuity properties of solution funnels. We consider first a space E that is separable and reflexive and then a space E with a separable second dual space. We also consider t...
متن کاملAn Iterative Solution of the Quadratic Equation in Banach Space
I. Introduction. The solutions of the quadratic equation ax2 + bx+c = 0, where a, b, and c are real numbers, are given in exact form by the quadratic formula. Moreover, if the roots are real and irrational, Newton's method or continued fractions may be used to approximate the solutions.
متن کاملThe Existance of the Optimum Solution for the System of Differential Equation in Hilbert Space
In this paper, we study the existence of the following optimum solution for the system of differential equation ...
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: 1988
ISSN: 0386-2194
DOI: 10.3792/pjaa.64.131