Local asymptotic attractivity for nonlinear quadratic functional integral equations

DOI10.1016/j.na.2008.02.109zbMath1173.47056OpenAlexW2153041676MaRDI QIDQ1001863

Bapurao C. Dhage

Publication date: 19 February 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2008.02.109

zbMATH Keywords

fixed point theoremquadratic functional integral equationuniformly locally asymptotically attractive solution

Mathematics Subject Classification ID

Other nonlinear integral equations (45G10) Fixed-point theorems (47H10) Applications of operator theory to differential and integral equations (47N20) Functional-differential equations (including equations with delayed, advanced or state-dependent argument) (34K99)

Related Items (11)

Existence and attractivity results for nonlinear first-order random differential equations ⋮ On global existence and attractivity results for nonlinear functional integral equations ⋮ Fractional order integral equations of two independent variables ⋮ Solvability of nonlinear integral equations of Volterra type ⋮ Asymptotic behaviour of nonlinear quadratic functional integral equations involving Carathéodory ⋮ On the solvability of a class of nonlinear functional integral equations involving Erdélyi–Kober fractional operator ⋮ Unnamed Item ⋮ On the existence and uniform attractivity of the solutions of a class of nonlinear integral equations on unbounded interval ⋮ Uniform asymptotic stability of solutions of fractional functional differential equations ⋮ Approximating positive solutions of nonlinear first order ordinary quadratic differential equations ⋮ Existence and Attractivity Theorems for Nonlinear Hybrid Fractional Integrodifferential Equations with Anticipation and Retardation

Cites Work

• Fixed points and stability of an integral equation: nonuniqueness.
• An application of a measure of noncompactness in the study of asymptotic stability
• The global attractivity and asymptotic stability of solution of a nonlinear integral equation
• Volterra integral and differential equations
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