SOLUTIONS OF DIFFERENTIAL EQUATIONSELSEVIERModeling in Transport Phenomena (Second Edition)
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The subject of this chapter is the derivation of the equations that are to be solved for an approximate analytical solution of a perturbation problem involving a differential equation. There are several ways to obtain an approximate analytical solution. First, approximations can be made in the equat...
As an application of our theorem, we give necessary and sufficient conditions for a certain class of first order differential equations to have elementary solutions. For the simplest differential equation y f — a, where a is an algebraic function, Liouville showed that if such an equation has ...
摘要: We study some properties of a system of elementary (exponential) solutions of differential-difference equations of neutral type with constant matrix coefficients. We consider also the asymptotic behaviour of strong solutions of these equations....
Positive solutions of three-point boundary value problem for second order differential equations with an advanced argument By using the Krasnoselskii’s fixed point theorem for cones, conditions for the existence of positive solutions to the three-pointboundary value problem fo... ZY Li - Applied Ma...
R.,B.,Paris - 《Proceedings of the Royal Society A Mathematical Physical & Engineering Sciences》 被引量: 37发表: 1991年 On the Growth of Solutions of Second Order Linear Differential Equations with Extremal Coefficients In this paper,we consider the differential equation f" + A(z)f' + B(...
The confluent hypergeometric function Φ3 satisfies a system of partial differential equations on P1(C) × P1(C) with the singular loci x = 0, x = ∞, y = ∞ of irregular type and y = 0 of regular type. We obtain asymptotic expansions an... S Shimomura - 《International Journal of...
The solution of the differential equationx(e2y−1)dy+(x2−1)eydx=0is View Solution Doubtnut is No.1 Study App and Learning App with Instant Video Solutions for NCERT Class 6, Class 7, Class 8, Class 9, Class 10, Class 11 and Class 12, IIT JEE prep, NEET preparation and CBSE...
The equation (1) is said to be (m, m)-disconjugate in D if n — 2m and if no nontrivial solution of (1) has two zeros of order m in D. In [1] the following result for differential equations of arbitrary even order was obtained: THEOREM A. The differential equation where the fu...