Burton, Theodore A.; Purnaras, Ioannis K. Progressive contractions, product contractions, quadratic integro-differential equations. (English) Zbl 1484.45002 AIMS Math. 4, No. 3, 482-496 (2019). MSC: 45D05 34K05 45G05 47H10 PDFBibTeX XMLCite \textit{T. A. Burton} and \textit{I. K. Purnaras}, AIMS Math. 4, No. 3, 482--496 (2019; Zbl 1484.45002) Full Text: DOI
Burton, T. A. Integro-differential equations, compact maps, positive kernels, and Schaefer’s fixed point theorem. (English) Zbl 1404.45012 Nonlinear Dyn. Syst. Theory 17, No. 1, 19-28 (2017). MSC: 45J05 34K05 34A12 45D05 45G05 47H09 PDFBibTeX XMLCite \textit{T. A. Burton}, Nonlinear Dyn. Syst. Theory 17, No. 1, 19--28 (2017; Zbl 1404.45012)
Burton, T. A.; Purnaras, I. K. Krasnoselskii’s unification, Volterra’s integrodifferential equation, and the method of Aizerman. (English) Zbl 1308.45006 Nonlinear Stud. 21, No. 1, 1-19 (2014). Reviewer: Dan-Mircea Borş (Iaşi) MSC: 45J05 47H10 45G10 45D05 PDFBibTeX XMLCite \textit{T. A. Burton} and \textit{I. K. Purnaras}, Nonlinear Stud. 21, No. 1, 1--19 (2014; Zbl 1308.45006) Full Text: Link
Burton, T. A.; Purnaras, I. K. Singular integro-differential equations with small kernels. (English) Zbl 1277.45010 J. Integral Equations Appl. 25, No. 1, 1-20 (2013). Reviewer: Dan-Mircea Borş (Iaşi) MSC: 45J05 45M10 34D20 45G05 PDFBibTeX XMLCite \textit{T. A. Burton} and \textit{I. K. Purnaras}, J. Integral Equations Appl. 25, No. 1, 1--20 (2013; Zbl 1277.45010) Full Text: DOI Euclid
Burton, T. A. Lyapunov functionals, convex kernels, and strategy. (English) Zbl 1228.45008 Nonlinear Dyn. Syst. Theory 10, No. 4, 325-337 (2010). Reviewer: Martin Väth (Berlin) MSC: 45G10 45D05 45J05 45M05 PDFBibTeX XMLCite \textit{T. A. Burton}, Nonlinear Dyn. Syst. Theory 10, No. 4, 325--337 (2010; Zbl 1228.45008)
Burton, T. A.; Haddock, John R. Qualitative properties of solutions of integral equations. (English) Zbl 1184.45001 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 11, 5712-5723 (2009). Reviewer: Olof Staffans (Åbo) MSC: 45D05 45M10 45J05 PDFBibTeX XMLCite \textit{T. A. Burton} and \textit{J. R. Haddock}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 11, 5712--5723 (2009; Zbl 1184.45001) Full Text: DOI
Burton, T. A.; Hatvani, L. On the existence of periodic solutions of some nonlinear functional differential equations with unbounded delay. (English) Zbl 0736.34059 Nonlinear Anal., Theory Methods Appl. 16, No. 4, 389-398 (1991). Reviewer: A.H.Nasr (Cairo) MSC: 34K99 34C25 PDFBibTeX XMLCite \textit{T. A. Burton} and \textit{L. Hatvani}, Nonlinear Anal., Theory Methods Appl. 16, No. 4, 389--398 (1991; Zbl 0736.34059) Full Text: DOI
Burton, T. A.; Zhang, Bo Periodic solutions of abstract differential equations with infinite delay. (English) Zbl 0760.34060 J. Differ. Equations 90, No. 2, 357-396 (1991). Reviewer: A. J. B. Lopes-Pinto (Lisboa) MSC: 34K30 34C25 34K99 34G20 45N05 47G20 47J05 PDFBibTeX XMLCite \textit{T. A. Burton} and \textit{B. Zhang}, J. Differ. Equations 90, No. 2, 357--396 (1991; Zbl 0760.34060) Full Text: DOI