Existence of nondecreasing and continuous solutions of an integral equation with linear modification of the argument

DOI10.1007/S10114-007-0956-2zbMath1132.45005OpenAlexW2010953077MaRDI QIDQ2463816

Josefa Caballero, Kishin Sadarangani, Belén López

Publication date: 6 December 2007

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-007-0956-2

zbMATH Keywords

measure of noncompactnessfixed point theoremnondecreasing continuous solutions

Mathematics Subject Classification ID

Other nonlinear integral equations (45G10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items (9)

On Erdélyi-Kober type quadratic integral equation with linear modification of the argument ⋮ Fixed point theorems for convex-power condensing operators in Banach algebra ⋮ On existence and asymptotic behaviour of solutions of a fractional integral equation ⋮ Fixed point theory in a new class of Banach algebras and application ⋮ Unnamed Item ⋮ Fixed point theorems of block operator matrices on Banach algebras and an application to functional integral equations ⋮ On a quadratic fractional Hammerstein-Volterra integral equation with linear modification of the argument ⋮ New fixed point theorems in Banach algebras under weak topology features and applications to nonlinear integral equations ⋮ Existence results for nonlinear quadratic integral equations of fractional order in Banach algebra

Cites Work

• A family of solutions of the IVP for the equation \(x'(t)=ax(\lambda t), \lambda>1\)
• Integral equations arising in the kinetic theory of gases
• Quadratic equations and applications to Chandrasekhar's and related equations
• 13.—The Functional Differential Equation y′(x) = ay(λx) + by(x)
• Oscillation of the Euler differential equation with delay
• Solvability of Volterra-Stieltjes operator-integral equations and their applications
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