Remarks on a Certain Hypothesis in Singular Perturbations

DOI10.2307/2037483zbMath0208.12004OpenAlexW4255250834MaRDI QIDQ5609912

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Publication date: 1969

Full work available at URL: https://doi.org/10.2307/2037483

Mathematics Subject Classification ID

Singular perturbations for ordinary differential equations (34E15) Stability theory for ordinary differential equations (34D99)

Related Items (9)

Conditions for kinematical similarity of a linear difference equation to a block upper triangular equation ⋮ Spectra and Stability of Spatially Periodic Pulse Patterns: Evans Function Factorization via Riccati Transformation ⋮ Dichotomies and moving singularities ⋮ Exponential separation, exponential dichotomy and spectral theory for linear systems of ordinary differential equations ⋮ Singularly perturbed linear boundary value problems ⋮ Diagonalization method for a vector boundary problem of singular perturbation type ⋮ An improved boundary layer estimate for a singularly perturbed initial value problem ⋮ Existence and dependence on a parameter of solutions of a nonlinear two point boundary value problem ⋮ A new parameter estimate in singular perturbations

Cites Work

• Unnamed Item
• Singular perturbations of nonlinear systems of differential equations related to conditional stability
• Bounded and almost periodic solutions of singularly perturbed equations
• Almost periodic solutions of singularity perturbed systems of differential equations
• Dichotomies and reducibility
• Singular perturbations of initial value problems over a finite interval
• Continuous matrices and the stability of differential systems
• The Asymptotic Behavior of the Stable Initial Manifolds of a System of Nonlinear Differential Equations
• Two problems in singular perturbations of differential equations

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