Results 21 to 30 of about 2,090,917 (350)
Regions of stability for a linear differential equation with two rationally dependent delays [PDF]
, 2013 Stability analysis is performed for a linear differential equation with two delays. Geometric arguments show that when the two delays are rationally dependent, then the region of stability increases.
J. Mahaffy, Timothy C. Busken
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AIMS Mathematics, 2023 In this paper, a new class of extended (2+1)-dimensional Ito equations is investigated for its group invariant solutions. The Lie symmetry method is employed to transform the nonlinear Ito equation into an ordinary differential equation.
Ziying Qi, Lianzhong Li
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Computing the Galois group of some parameterized linear differential equation of order two [PDF]
, 2011 We extend Kovacic's algorithm to compute the differential Galois group of some second order parameterized linear differential equation. In the case where no Liouvillian solutions could be found, we give a necessary and sufficient condition for the ...
T. Dreyfus
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Confluence of meromorphic solutions of q-difference equations [PDF]
, 2015 In this paper, we consider a q-analogue of the Borel-Laplace summation where q>1 is a real parameter. In particular, we show that the Borel-Laplace summation of a divergent power series solution of a linear differential equation can be uniformly ...
Dreyfus, Thomas
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On linear homogeneous differential equation of Chebyshev type
Lietuvos Matematikos Rinkinys, 2008 Let L[y] = y(n)(z)+gn-1(z)y(n-1)(z)+. . .+g1(z)y(1)(z)+g0(z)y(z) = 0 be a differential equation of nth order with analytic in circle |z| < R coefficients.
Eduard Kiriyatzkii
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Complexity, 2021 This paper involves extended b−metric versions of a fractional differential equation, a system of fractional differential equations and two-dimensional (2D) linear Fredholm integral equations. By various given hypotheses, exciting results are established
Hasanen A. Hammad +2 more
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Half-linear Euler differential equation and its perturbations
Electronic Journal of Qualitative Theory of Differential Equations, 2016 We investigate oscillatory properties of perturbed half-linear Euler differential equation. We give an alternative proof (simpler and more straightforward) of the main result of [O. Došlý, H. Funková, Abstr. Appl. Anal. 2012, Art. ID 738472] and we prove
Ondrej Dosly
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On linear matrix differential equations
Journal of Mathematical Analysis and Applications, 1971 AbstractIf F(z) ≠ 0 is a holomorphic function on a connected open subset U of the complex plane, it is easily shown that F satisfies a homogeneous linear differential equation of order n on U with leading coefficient 1 if and only if all the zeros of F have order less than n. This theorem will be generalized to holomorphic m × n matrix valued functions
Richard M. Koch, Franklin Lowenthal
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On Some Novel Results About the Behavior of Some Numerical Solutions of a Neutrosophic Generalized Half – Linear Second Order Differential Equation [PDF]
Neutrosophic Sets and SystemsThe generalized neutrosophic differential equation is a differential equation with neutrosophic real variable x + yI instead of classical real variable x. This research is devoted to studying the oscillation of generalized neutrosophic half linear second
Norah Mousa Alrayes +5 more
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A Problem in Linear Differential Equations [PDF]
Proceedings of the American Mathematical Society, 1959 In the Bulletin of the American Mathematical Society, March 1958, page 61, R. E. Bellman suggests the following for research. "Consider the second order linear differential equation (1) u" + (1 + Xg(x))u = O where X is a real constant and fo7 I g(x) I dx 0 for x _ 0, is the singularity nearest the origin on the negative axis?" We assume that g(x) is ...
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