Results 311 to 320 of about 2,088,895 (372)
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A GEOMETRIC ANALYSIS OF STABILITY REGIONS FOR A LINEAR DIFFERENTIAL EQUATION WITH TWO DELAYS
, 1995We describe an algorithmic approach for determining the geometry of the region of stability for a linear differential equation with two delays. Numerous applications utilize two-delay differential equations and require a framework to assay stability. The
J. Mahaffy, Kathryn M. Joiner, P. Zak
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A non-linear differential equation and a Fredholm determinant
, 1992In several branches of mathematical physics one comes across the Fredholm determinant of the kernel sin(x-y)π/(x-y)π on the finite interval (-t,t). Jimbo, Miwa, Mori and Sato derived a non-linear differential equation for it.
M. L. Mehta
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Quasi-lisse Vertex Algebras and Modular Linear Differential Equations
, 2016We introduce the notion of quasi-lisse vertex algebras, which generalizes admissible affine vertex algebras. We show that the normalized character of an ordinary module over a quasi-lisse vertex operator algebra has a modular invariance property, in the ...
T. Arakawa, Kazuya Kawasetsu
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THE LINEAR SYMTRIES OF A NONLINEAR DIFFERENTIAL EQUATION
, 1985The Lie point symmetries of the non-linear differential equation [qdot] + 3qq + q3 = 0 which arises in the study of the modified Emden equation are shown to have an unexpectedly rich algebra associated with them, a feature which enables the above non ...
F. Mahomed, P. Leach
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1993
Consider the linear differential equation $$ u^{(n)} = p(t)u $$ (1.1) where. As a rule we assume that either $$ p(t) \leqslant 0 for t \in R_ + $$ (1.2) or $$ p(t) \geqslant 0 for t \in R_ + . $$ (1.3) A solution of (1.1) is said to be oscillatory if it has infinitely many zeros.
Ivan Kiguradze, T. A. Chanturia
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Consider the linear differential equation $$ u^{(n)} = p(t)u $$ (1.1) where. As a rule we assume that either $$ p(t) \leqslant 0 for t \in R_ + $$ (1.2) or $$ p(t) \geqslant 0 for t \in R_ + . $$ (1.3) A solution of (1.1) is said to be oscillatory if it has infinitely many zeros.
Ivan Kiguradze, T. A. Chanturia
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Stabilization of non-linear differential-algebraic equation systems
, 2004In this paper, the feedback stabilization problem is investigated for non-linear differential-algebraic equation systems. The paper is composed of two algorithms, namely a regularization algorithm and a stabilization algorithm.
Xiaoping Liu, D. Ho
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SIAM Journal on Applied Mathematics, 1998
We consider the inverse problem of reconstructing the diffusion coefficient in a quasi-linear parabolic differential equation in divergence form from measurements of the solution at a finite number of points in the interior of the domain.
M. Hanke, O. Scherzer
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We consider the inverse problem of reconstructing the diffusion coefficient in a quasi-linear parabolic differential equation in divergence form from measurements of the solution at a finite number of points in the interior of the domain.
M. Hanke, O. Scherzer
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1966
Publisher Summary This chapter focuses on higher-order linear equations. Even for second-order linear equations, no general method of solution is available as there was for first-order equations. Formulas for general solutions can be found for certain special classes of higher-order equations.
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Publisher Summary This chapter focuses on higher-order linear equations. Even for second-order linear equations, no general method of solution is available as there was for first-order equations. Formulas for general solutions can be found for certain special classes of higher-order equations.
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A Differential Equation Approach to Linear Combinations of Independent Chi-Squares
, 1977The distribution of a linear combination of m independent central chi-square variables with positive coefficients is shown to be derivable from an mth order linear differential equation.
A. W. Davis
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Linear Differential Equations [PDF]
, 1999 In this chapter, we shall first explain the existence of solutions of initial value problems for differential equations and then fundamental theorems for linear differential equations in the complex domain. We explain the definition of regular and irregular singularities of linear differential equations, and the behavior of of local solutions near ...
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