Tauberian Theorems for a Positive Definite Form, with Applications to a Volterra Equation

DOI10.2307/1997437zbMath0329.45002OpenAlexW4249483892MaRDI QIDQ4095367

Olof J. Staffans

Publication date: 1976

Full work available at URL: https://doi.org/10.2307/1997437

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Operations with distributions and generalized functions (46F10) Asymptotics of solutions to integral equations (45M05) Positive definite functions in one variable harmonic analysis (42A82) Volterra integral equations (45D05)

Related Items (8)

On Asymptotically Almost Periodic Solutions of a Convolution Equation ⋮ On the behaviour of global errors at infinity in the numerical integration of stable initial value problems ⋮ Frequency domain methods for Volterra equations ⋮ On the asymptotic spectra of the bounded solutions of a nonlinear Volterra equation ⋮ On the holomorphic properties of the nonlinearity in a Volterra equation ⋮ An abstract nonlinear Volterra integrodifferential equation ⋮ An Inequality for Positive Definite Volterra Kernels ⋮ Systems of Nonlinear Volterra Equations with Positive Definite Kernels

Cites Work

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• On the variation of the solutions of a nonlinear integral equation
• On some geometric structures for integrodifferential equations
• Frequency domain methods for Volterra equations
• On a nonlinear delay equation
• On the asymptotic behavior of the solutions of an integro-differential equation
• Perturbations of a nonlinear Volterra equation
• The qualitative behavior of the solutions of a nonlinear Volterra equation
• On the asymptotic behavior of the bounded solutions of some integral equations. I, II, III
• On a nonlinear Volterra integral equation
• Nonlinear Volterra integrodifferential systems with L\(^1\)-kernels
• Nonlinear Volterra equations on a Hilbert space
• Nonlinear Volterra Integral Equations with Positive Definite Kernels
• Variants of the Wiener-Levy Theorem, with Applications to Stability Problems for Some Volterra Integral Equations
• Positive Definite Measures with Applications to a Volterra Equation
• Stability Theorems for Some Functional Equations
• Note on a Nonlinear Volterra Equation
• On a nonlinear Volterra equation
• On a nonlinear Volterra equation

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