Some properties of Green's functions of Shilov-type parabolic systems
V. Litovchenko,G. Unguryan +1 more
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For Shilov-type parabolic systems with nonnegative genus and coefficients of bounded smoothness, the properties of differentiability of Green's function with respect to spatial variables are studied in this paper.Abstract:
For Shilov-type parabolic systems with nonnegative genus and coefficients of bounded smoothness, the properties of differentiability of Green’s function with respect to spatial variables are studied. 2010 Mathematics Subject Classification: 35K40; 35A08read more
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구조해석에서의 Generalized Functions의 응용
TL;DR: In this paper, the filtration property of delta function and its derivatives as generalized functions is described by using these generalized functions, and the external load term, q(x), can be described by describing the generalized functions using the method of variation of parameters, which makes the form of Wp(x) simpler.
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Modified Cauchy Problem with Impulse Action for Parabolic Shilov Equations
TL;DR: In this paper, the problem of finding classical solutions that satisfy a modified initial condition with generalized data such as the Gelfand and Shilov distributions is considered, and the conditions for the correct solvability of this problem are clarified and the formula for its solution is found.
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Generalized Functions와 영향함수와의 관계
TL;DR: In this article, the Muller-Breslau principle can be expressed in terms of the Generalized Functions in governing differential equations, EIy''+ky = q, and due to the very convenient characteristics of the generalized functions in q, we can get the particular solutions of the D.E. easily.