Hyers-Ulam stability of a class second differential equation \(y(x)+p(x)y'(x)+q(x)y(x)=F(y(x))\)

DOI10.1007/s40840-017-0454-3zbMath1368.34069OpenAlexW2587444939WikidataQ115371794 ScholiaQ115371794MaRDI QIDQ523233

Xingjuan Zhang, Weigao Ge, Xiangkui Zhao

Publication date: 20 April 2017

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40840-017-0454-3

zbMATH Keywords

Hyers-Ulam-Rassias stabilityHyers-Ulam stabilitydifferential equationfixed point method

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Perturbations of ordinary differential equations (34D10) Applications of operator theory to differential and integral equations (47N20)

Related Items (2)

Best constant for Ulam stability of Hill's equations ⋮ Hyers-Ulam stability for second order linear differential equations of Carathéodory type

Cites Work

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• New concepts and results in stability of fractional differential equations
• Hyers-Ulam stability of additive set-valued functional equations
• Hyers-Ulam-Rassias stability of functional equations in nonlinear analysis
• On the Hyers-Ulam stability of the linear differential equation
• On the Hyers-Ulam-Rassias stability of functional equations in \(n\)-variables
• Hyers-Ulam stability of linear differential equations of second order
• Hyers-Ulam stability of linear differential equations of first order
• Exponential type functional equation and its Hyers-Ulam stability
• Hyers-Ulam stability of nonhomogeneous linear differential equations of second order
• A characterization of Hyers-Ulam stability of first order linear differential operators.
• Hyers-Ulam-Rassias stability of a Jensen type functional equation
• Hyers-Ulam stability of linear differential equations of first order.
• Positive solutions of nonlinear three-point boundary-value problems
• On the Ulam-Hyers stability of first order differential systems with nonlocal initial conditions
• Positive solutions for singular second order differential equations with integral boundary conditions
• A fixed point approach to the stability of linear differential equations
• Hyers-Ulam stability of linear differential equations of first order. II
• A fixed point approach to the stability of a Volterra integral equation
• Hyers-Ulam stability of linear differential equations of first order. III
• Hyers-Ulam-Rassias stability of homomorphisms in quasi-Banach algebras associated to the Pexiderized Cauchy functional equation
• A fixed point approach to the stability of differential equations \(y'=F(x,y)\)
• On the Stability of the Linear Mapping in Banach Spaces
• A fixed point theorem of the alternative, for contractions on a generalized complete metric space
• On the Stability of the Linear Functional Equation

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