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Physical Sciences and Mathematics Commons

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Articles 1 - 9 of 9

Full-Text Articles in Physical Sciences and Mathematics

Global Existence Theorems For Solutions Of Nonlinear Differential Equations With Prescribed Asymptotic Behavior, William Trench, T. Kusano Jan 1985

Global Existence Theorems For Solutions Of Nonlinear Differential Equations With Prescribed Asymptotic Behavior, William Trench, T. Kusano

William F. Trench

No abstract provided.


Existence Of Global Solutions With Prescribed Asymptotic Behavior For Nonlinear Differential Equations, William F. Trench Dec 1984

Existence Of Global Solutions With Prescribed Asymptotic Behavior For Nonlinear Differential Equations, William F. Trench

William F. Trench

No abstract provided.


On The Eigenvalue Problem For Toeplitz Matrices Generated By Rational Functions, William F. Trench Dec 1984

On The Eigenvalue Problem For Toeplitz Matrices Generated By Rational Functions, William F. Trench

William F. Trench

We give formulas for the characteristic polynomial and eigenvectors of of $n\times n$ Toeplitz matrices generated by a formal Laurent series of a rational function $R(z)$. The formulas are in terms of a certain fixed polynomial with coefficients that are simple functions of $\lambda$ and the coefficients of $R(z)$. The complexity of the formulas is independent of $n$.


Functional Perturbations Of Second Order Differential Equations, William F. Trench Dec 1984

Functional Perturbations Of Second Order Differential Equations, William F. Trench

William F. Trench

No abstract provided.


Explicit Inversion Formulas For Toeplitz Band Matrices, William F. Trench Dec 1984

Explicit Inversion Formulas For Toeplitz Band Matrices, William F. Trench

William F. Trench

No abstract provided.


Linear Perturbations Of General Disconjugate Equations, William F. Trench Dec 1984

Linear Perturbations Of General Disconjugate Equations, William F. Trench

William F. Trench

No abstract provided.


Eventual Disconjugacy Of A Linear Differential Equation Ii, William F. Trench Dec 1984

Eventual Disconjugacy Of A Linear Differential Equation Ii, William F. Trench

William F. Trench

No abstract provided.


On $T_\Infty$ Quasi-Similarity Of Linear Systems, William F. Trench Dec 1984

On $T_\Infty$ Quasi-Similarity Of Linear Systems, William F. Trench

William F. Trench

No abstract provided.


On The Eigenvalue Problem For Toeplitz Band Matrices, William F. Trench Dec 1984

On The Eigenvalue Problem For Toeplitz Band Matrices, William F. Trench

William F. Trench

No abstract provided.