Continuous dependence of the solutions of nonlinear integral quadratic Volterra equation on the parameter

DOI10.1155/2015/471235zbMath1326.45001OpenAlexW2036215050WikidataQ59112834 ScholiaQ59112834MaRDI QIDQ492547

Szymon Dudek, Leszek Olszowy

Publication date: 20 August 2015

Published in: Journal of Function Spaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2015/471235

Mathematics Subject Classification ID

Volterra integral equations (45D05)

Related Items (10)

Measure of noncompactness and fractional integro-differential equations with state-dependent nonlocal conditions in Fréchet spaces ⋮ Solvability of functional integral equations in the Fréchet space \(C(\Omega)\) ⋮ Unnamed Item ⋮ Random differential hyperbolic equations of fractional order in Fréchet spaces ⋮ Existence and controllability of integrodifferential equations with non-instantaneous impulses in Fréchet spaces ⋮ Fractional ${q}$-difference equations on the half line ⋮ Existence results for some integro-differential equations with state-dependent nonlocal conditions in Fréchet spaces ⋮ Existence, uniqueness, and Mittag-Leffler-Ulam stability results for Cauchy problem involving \(\psi \)-Caputo derivative in Banach and Fréchet spaces ⋮ Measure of noncompactness and semilinear differential equations in Fréchet spaces ⋮ Caputo-Hadamard fractional differential Cauchy problem in Fréchet spaces

Cites Work

• The technique of measures of noncompactness in Banach algebras and its applications to integral equations
• Fixed point theorems in the Fréchet space \(\mathcal C(\mathbb R_+)\) and functional integral equations on an unbounded interval
• On global existence and attractivity results for nonlinear functional integral equations
• Solvability of a neutral differential equation with deviated argument
• Monotonic solutions of a quadratic integral equation of fractional order
• On solutions of functional-integral equations of Urysohn type on an unbounded interval
• On solutions of a quadratic integral equation of Hammerstein type
• The global attractivity and asymptotic stability of solution of a nonlinear integral equation
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