Stability of the second order partial differential equations

DOI10.1186/1029-242X-2011-81zbMath1280.35006OpenAlexW2008486444WikidataQ59268335 ScholiaQ59268335MaRDI QIDQ357684

Mohammad Bagher Ghaemi, Yeol Je Cho, Madjid Eshaghi-Gordji, Badrkhan Alizadeh

Publication date: 13 August 2013

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1029-242x-2011-81

zbMATH Keywords

generalized Hyers-Ulam stabilityBanach's contraction principle

Mathematics Subject Classification ID

Stability, separation, extension, and related topics for functional equations (39B82) Stability theory of functional-differential equations (34K20) Nonlinear higher-order PDEs (35G20) Theoretical approximation in context of PDEs (35A35) Functional equations for functions with more general domains and/or ranges (39B52)

Related Items (13)

Stability results of some fractional neutral integrodifferential equations with delay ⋮ A novel stability analysis for the Darboux problem of partial differential equations via fixed point theory ⋮ Existence, uniqueness and Ulam stabilities for nonlinear hyperbolic partial integrodifferential equations ⋮ Approximate perfect differential equations of second order ⋮ Stability of linear differential equations of third order ⋮ Hyers-Ulam stability of fractional linear differential equations involving Caputo fractional derivatives. ⋮ On Hyers-Ulam stability of fractional differential equations with Prabhakar derivatives ⋮ Hyers-Ulam-Rassias stability of first order linear partial fuzzy differential equations under generalized differentiability ⋮ Hyers-Ulam-Rassias stability of the generalized fractional systems and the \(\rho\)-Laplace transform method ⋮ Unnamed Item ⋮ Hyers-Ulam stability of associated Laguerre differential equations in a subclass of analytic functions ⋮ Unnamed Item ⋮ Hyers-Ulam stability of hypergeometric differential equations

Cites Work

• Hyers-Ulam stability of linear differential equations of second order
• Hyers-Ulam stability of linear partial differential equations of first order
• On some inequalities and stability results related to the exponential function
• On the stability of \(J^*\)-derivations
• Hyers-Ulam stability of linear differential equations of first order. II
• Hyers-Ulam stability of linear differential equations of first order. III
• ON THE HYERS-ULAM STABILITY OF THE BANACH SPACE-VALUED DIFFERENTIAL EQUATION y'=λy
• On the Stability of the Linear Functional Equation
• Remarks on the stability of functional equations
• On the stability of the quadratic mapping in normed spaces

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