Nonlinear Volterra Integral Equations with Positive Definite Kernels

DOI10.2307/2039854zbMath0316.45017OpenAlexW4229640900MaRDI QIDQ4076031

Olof J. Staffans

Publication date: 1975

Full work available at URL: https://doi.org/10.2307/2039854

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Other nonlinear integral equations (45G10) Volterra integral equations (45D05)

Related Items (12)

Some direct and inverse source problems in nonlinear evolutionary PDEs with Volterra operators ⋮ Some energy estimates for a nondifferentiated Volterra equation ⋮ On nonlinear Volterra equations of nonconvolution type ⋮ 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 ⋮ Tauberian Theorems for a Positive Definite Form, with Applications to a Volterra Equation ⋮ Positive Definite Measures with Applications to a Volterra Equation ⋮ The Cauchy problem in one-dimensional nonlinear viscoelasticity ⋮ An Inequality for Positive Definite Volterra Kernels ⋮ Systems of Nonlinear Volterra Equations with Positive Definite Kernels

Cites Work

• Unnamed Item
• On the variation of the solutions of a nonlinear integral equation
• Frequency domain methods for Volterra equations
• On a nonlinear delay equation
• Sufficient conditions for stability and instability of autonomous functional-differential equations
• On the asymptotic behavior of the solutions of an integro-differential equation
• Perturbations of a nonlinear Volterra equation
• Asymptotic behavior of nonlinear delay-differential equations
• 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
• Stability Theorems for Some Functional Equations
• On a nonlinear Volterra equation

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