Results 271 to 280 of about 5,984 (300)

The Two-Sided Factorization of Ordinary Differential Operators

Canadian Journal of Mathematics, 1980
Throughout this paper we shall use I to denote a given interval, not necessarily bounded, of real numbers and Cn to denote the real valued n times continuously differentiable functions on I and C0 will be abbreviated to C. By a differential operator of order n we shall mean a linear function L:Cn → C of the form1.1where pn(x) ≠ 0 for x ∊ I and pi ∊ Cj ...
Browne, Patrick J., Nillsen, Rodney
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On isomorphism of ordinary differential operators

Applicable Analysis, 2004
The article deals with an ordinary linear differential operator L of even order 2m with constant coefficients which defines a natural mapping of the space to itself. The operator L is considered under an extra condition that its characteristic polynomial has no real roots and exactly m roots with strictly positive imaginary part. This work prepares the
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Hypoelliptic ordinary differential operators

Israel Journal of Mathematics, 1972
Necessary and sufficient conditions for the hypoellipticity of an ordinary differential operator withC ∞ coefficients in a neighborhood of a zero of finite order of the leading term are given. A sufficient condition for such an operator to be in a certain Hormander class is also given.
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Transformations of Ordinary Differential Operators

1981
Kummer-Liouville coordinate changes are presented for fourth order vector differential operators of the formally self-adjoint form. This study is preliminary to the development of canonical forms and transformation theory for linear fourth order partial differential operators.
Calvin D. Ahlbrandt, Don B. Hinton, Roger T. Lewis   +2 more
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Onn-Fold Expansions for Ordinary Differential Operators

Mathematische Nachrichten, 2002
The authors apply results for abstract operator pencils (concerning \(n\)-fold expansions with respect to the eigen- and associated vectors of the pencil) to the differential equation \[ i^mu^{(m)} + p_1(x,\lambda)u^{(m-1)} +\dots + p_{m-1}(x,\lambda)u' + [p_m(x,\lambda) - \lambda^n]u = 0.
Faierman, M., Markus, A., Matsaev, V., Möller, M.   +3 more
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The Inverse Problem for Ordinary Differential Operators on the Line

American Journal of Mathematics, 1985
In this interesting article the author investigates the linear differential operator (n\(\geq 2)\) \[ (1)\quad P=D^ n+q_{n-2}D^{n- 2}+...+q_ 0,\quad D=(1/i)d/dx \] \(q_ j\in L^ 1(R)\) for \(j=0,1,...,n-2\), being generally not self-adjoint. The inverse problem for the operator (1) on the line is the problem of determining the coefficients \(q_ 0,q_ 1,..
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Minimum Moduli of Ordinary Differential Operators

Proceedings of the London Mathematical Society, 1971
Goldberg, S., Meir, A.
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Semibounded Extensions of Singular Ordinary Differential Operators

Canadian Mathematical Bulletin, 1988
AbstractThe self-adjoint extensions of the singular differential operator Ly = [(py’)’ + qy]/w, where p < 0, w > 0, q ≧ mw, are characterized under limit-circle conditions. It is shown that as long as the coefficients of certain boundary conditions define points which lie between two lines, the extension they help define has the same lower bound.
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Modified Adomian Method through Efficient Inverse Integral Operators to Solve Nonlinear Initial-Value Problems for Ordinary Differential Equations

Axioms, 2022
H O Bakodah
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Ordinary Differential Operators

2019
Aiping Wang, Anton Zettl
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