A Fixed Point Theorem, A Perturbed Differential Equation, and a Multivariable Volterra Integral Equation

DOI10.2307/1996521zbMath0288.45005OpenAlexW4240559517MaRDI QIDQ4776363

David Lowell Lovelady

Publication date: 1973

Full work available at URL: https://doi.org/10.2307/1996521

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Fixed-point theorems (47H10) First-order nonlinear hyperbolic equations (35L60) Perturbations of ordinary differential equations (34D10) Asymptotic properties of solutions to ordinary differential equations (34D05) Volterra integral equations (45D05) Differential equations in abstract spaces (34G99)

Related Items (3)

A note on differential and integral equations in the spaces of functions of \(\Lambda \)-bounded variation ⋮ Mappings of higher order and nonlinear equations in some spaces of almost periodic functions ⋮ Product Integral Techniques for Abstract Hyperbolic Partial Differential Equations

Cites Work

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• A stability theorem for nonlinear mixed integral equations
• On the linearization of Volterra integral equations
• Perturbations of Volterra integral equations
• The logarithmic derivative and equations of evolution in a Banach space
• Perturbation theory for Volterra integrodifferential systems
• Fixed points and stability for a sum of two operators in locally convex spaces
• Admissibility and Nonlinear Volterra Integral Equations
• A Global Existence Theorem for Autonomous Differential Equations in a Banach Space
• A Global Existence Theorem for a Nonautonomous Differential Equation in a Banach Space
• Lyapunov functions and autonomous differential equations in a Banach space
• Differential- und Integral-Ungleichungen

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