Hyers-Ulam-Rassias stability for a class of nonlinear Volterra integral equations.

By Luís P. Castro, A. Ramos. 2009

68 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/88055690b524e2a5ec740150f1f648579501afff

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The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

1. Diana Otrocol
2. Alberto Simões
3. Veronica Ilea
4. Luís P. Castro
5. Jinrong Wang

Citations in the corpus

• Ulam stability for a delay differential equation (2013, result): “Our results are connected to some recent papers of Castro and Ramos [2] and Jung [5] (where integral and differential equations are considered), Bota-Boriceanu and Petrușel [1], and Petru et al.”
• Hyers‐Ulam‐Rassias stability of nonlinear integral equations through the Bielecki metric (2018, background): “Moreover, suppose that f :½a; b ×C×C×C→C is a continuous function satisfying the Lipschitz condition f ðx; uðxÞ; uðαðxÞÞ; gðxÞÞ− f ðx; vðxÞ; vðαðxÞÞ; hðxÞÞj j≤M juðxÞ−vðxÞj þ juðαðxÞÞ−vðαðxÞÞj þ jgðxÞ−hðxÞjð Þ (27) with M>0 and the kernel k:½a; b ×½a; b ×C×C→C is a continuous kernel function satisfy”