On the pantograph functional equation

DOI10.21608/EJMAA.2024.249812.1094MaRDI QIDQ6598260

Eman M. A. Hamdallah, Malak M. S. Ba-Ali, Ahmed M. A. El-Sayed

Publication date: 4 September 2024

Published in: Electronic Journal of Mathematical Analysis and Applications EJMAA (Search for Journal in Brave)

zbMATH Keywords

existence of solutionsHyers-Ulam stabilityBanach fixed point theoremSchauder fixed point theoremcontinuous dependencepantograph equation

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Fixed-point theorems (47H10) Neutral functional-differential equations (34K40) Measures of noncompactness and condensing mappings, (K)-set contractions, etc. (47H08) Impulsive control/observation systems (93C27)

Cites Work

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• A collocation method using Hermite polynomials for approximate solution of pantograph equations
• Analytic continuation of Taylor series and the boundary value problems of some nonlinear ordinary differential equations
• A Taylor method for numerical solution of generalized pantograph equations with linear functional argument
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• On the attainable order of collocation methods for pantograph integro-differential equations
• Properties of analytic solution and numerical solution of multi-pantograph equation
• Numerical solution of the delay differential equations of pantograph type via Chebyshev polynomials
• Direct operatorial tau method for pantograph-type equations
• On the generalized pantograph functional-differential equation
• 13.—The Functional Differential Equation y′(x) = ay(λx) + by(x)
• The functional-differential equation $y'\left( x \right) = ay\left( {\lambda x} \right) + by\left( x \right)$
• On the Stability of the Linear Functional Equation

Related Items (2)

Qualitative study for a coupled system of differential equation on the real half-line ⋮ The Hyers-Ulam stability of an additive and quadratic functional equation in 2-Banach space

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