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Basic theory of ordinary differential equations
I. Fundamental Theorems of Ordinary Differential Equations.- I-1. Existence and uniqueness with the Lipschitz condition.- I-2. Existence without the Lipschitz condition.- I-3. Some global propertiesExpand
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Some global properties of matrices of functions of one variable
Abstract : This paper contains global block-diagonalization theorems for the matrices of analytic functions as well as periodic functions. (Author)
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A Theorem Concerning Uniform Simplification at a Transition Point and the Problem of Resonance
Given sectors $\mathcal{S} = \{ {\varepsilon ;a_j < \arg \varepsilon < b_j ,0 < | \varepsilon | < \rho } \}(1 \leqq j \leqq \nu )$ and functions $\delta _j (1 \leqq j \leqq \nu )$ such that (i) $Expand
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Multisummability of formal power series solutions of linear ordinary differential equations
27 Balser, W., B.L.J. Braaksma, J.-P. Ramis and Y. Sibuya, Multisummability of formal power series solutions of linear ordinary differential equations, Asymptotic Analysis 5 (1991) 27-45. If I is aExpand
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ASYMPTOTIC DISTRIBUTION OF EIGENVALUES
Publisher Summary This chapter discusses an asymptotic distribution of Eigen values. In particular, the chapter focuses on the asymptoticdistribution of largepositiveEigenvalues for thisproblem.Expand
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