Results 231 to 240 of about 5,335,458 (280)

Solvability of Linear Differential Equations

Дифференциальные уравнения, 2023
We propose a new approach to the solvability of ordinary as well as partial differential equations in the theory of linear differential equations and also in the theory of integral equations.
Mokeichev, V. S., Sidorov, A. M.
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Reducibility of Linear Differential Systems to Linear Differential Equations

Moscow University Mathematics Bulletin, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Linear Differential Equations

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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Solutions of Linear Differential Algebraic Equations

SIAM Review, 1998
Summary: The authors show how to solve inhomogeneous linear differential algebraic systems with constant coefficients.
Mazi Shirvani, Joseph W.-H. So
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On Systems of Linear Differential Equations

American Journal of Mathematics, 1951
with U a column vector and A and P n-square matrices. The transformation U = TU, by a unimodular matrix T is easily seen to result in an equation in U, of form (1), in which the coefficient of A is T-1AT. It is known [1] that if the elements of A and its characteristic roots are holomorphic in a closed bounded region R, then there exists a matrix T ...
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Linear distribution differential equations

Commentarii mathematici Universitatis Sancti Pauli = Rikkyo Daigaku sugaku zasshi, 1984
Let \(c\in {\mathbb{R}}\), let \({\mathcal P}^ 0\) be the set of Borel measures with support in \(x\leq c\). Let \({\mathcal B}^ 0\) be the set of all locally bounded Borel measurable functions with support in \(x\geq c\). Let \(\mu\in {\mathcal D}'({\mathbb{R}})\). Let \(j\geq 0\) be an integer. If for some \(\eta\in {\mathcal P}^ 0\) \(D^ j\mu =\eta\)
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On the Meromorphic Solutions of Linear Differential Equations

Journal of Systems Science and Complexity, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On liouvillian solutions of linear differential equations

Applicable Algebra in Engineering, Communication and Computing, 1992
Let \(L(y)=0\) be a homogeneous linear differential equation and \(R(z)=0\) be the associated Riccati equation. The paper deals with the problem of finding the possible degrees of the minimal polynomial of an algebraic solution of \(R(z)=0\). Supposing that \(L(y)\) is irreducible and \(L(y)=0\) has a Liouvillian solution, the author obtains sharp ...
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On Linear Perturbation of Non-Linear Differential Equations

Canadian Journal of Mathematics, 1954
In the theory of the asymptotic solution or stability of ordinary differential equations most attention has been given to linear or nearly-linear cases. Investigations in this field, starting primarily with those of Kneser(7)on the equation y″+f(x)y= 0, have by now mostly been summed up in results on the vector-matrix system dy/dx =Ay +f(y,x ...
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Linear Differential Equations

2016
In this chapter we deal with some basic facts concerning ordinary linear differential equations in the analytic domain, culminating in Fuchs’ theory on regular singular points.
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