Some energy estimates for a nondifferentiated Volterra equation

DOI10.1016/0022-0396(79)90064-0zbMath0426.45015OpenAlexW2075805954MaRDI QIDQ1136034

Olof J. Staffans

Publication date: 1979

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(79)90064-0

zbMATH Keywords

energy estimatesHilbert spacepositive definite kernelsVolterra integral equationsboundedness and asymptotic resultsoperator valued kernels

Mathematics Subject Classification ID

Other nonlinear integral equations (45G10) Asymptotics of solutions to integral equations (45M05) Volterra integral equations (45D05) Abstract integral equations, integral equations in abstract spaces (45N05)

Related Items (4)

Liapunov functionals and periodicity in integral equations ⋮ Asymptotic properties of solutions of time-dependent Volterra integral equations ⋮ On some positive definite forms and volterra integral operators ⋮ Volterra integro-differential equations with accretive nonlinearity

Cites Work

• Remarks on frequency domain methods for Volterra integral equations
• Boundedness and asymptotic behavior of solutions of a Volterra equation
• On the asymptotic behaviour of solutions of nonlinear integral equations in BANACH spaces
• Nonlinear Volterra Integral Equations with Positive Definite Kernels
• Positive Definite Measures with Applications to a Volterra Equation
• An Inequality for Positive Definite Volterra Kernels
• An Asymptotic Problem for a Positive Definite Operator-Valued Volterra Kernel

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