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. Volterra integral and differential equations. 2nd ed. (English) Zbl 1075.45001 Mathematics in Science and Engineering 202. Amsterdam: Elsevier (ISBN 0-444-51786-3/hbk). x, 353 p. (2005). Reviewer: Gustaf Gripenberg (Hut) MSC: 45D05 45J05 34K05 34D20 45M05 45M10 45M15 45-02 34-02 45G10 45-03 92D25 PDFBibTeX XMLCite \textit{T. A. Burton}, Volterra integral and differential equations. 2nd ed. Amsterdam: Elsevier (2005; Zbl 1075.45001)
Burton, T. A.; Zhang, Bo Fixed points and stability of an integral equation: nonuniqueness. (English) Zbl 1066.45002 Appl. Math. Lett. 17, No. 7, 839-846 (2004). Reviewer: Ulrich Kosel (Freiberg) MSC: 45G10 47H09 47N20 45M05 45M10 PDFBibTeX XMLCite \textit{T. A. Burton} and \textit{B. Zhang}, Appl. Math. Lett. 17, No. 7, 839--846 (2004; Zbl 1066.45002) Full Text: DOI
Burton, T. A.; Furumochi, Tetsuo Periodic and asymptotically periodic solutions of neutral integral equations. (English) Zbl 0967.45003 Electron. J. Qual. Theory Differ. Equ. 2000, Suppl., 19 p. (2000). MSC: 45G05 45M05 45M15 PDFBibTeX XMLCite \textit{T. A. Burton} and \textit{T. Furumochi}, Electron. J. Qual. Theory Differ. Equ. 2000, 19 p. (2000; Zbl 0967.45003) Full Text: EuDML EMIS
Burton, T. A.; Furumochi, Tetsuo Periodic and asymptotically periodic solutions of Volterra integral equations. (English) Zbl 0861.45003 Funkc. Ekvacioj, Ser. Int. 39, No. 1, 87-107 (1996). Reviewer: C.Corduneanu (Arlington) MSC: 45G10 45M05 45M15 PDFBibTeX XMLCite \textit{T. A. Burton} and \textit{T. Furumochi}, Funkc. Ekvacioj, Ser. Int. 39, No. 1, 87--107 (1996; Zbl 0861.45003)
Burton, T. A. Examples of Lyapunov functionals for non-differentiated equations. (English) Zbl 0843.45007 Lakshmikantham, V. (ed.), World congress of nonlinear analysts ’92. Proceedings of the first world congress, Tampa, FL, USA, August 19-26, 1992. 4 volumes. Berlin: de Gruyter. 1203-1214 (1996). MSC: 45M05 45G10 PDFBibTeX XMLCite \textit{T. A. Burton}, in: World congress of nonlinear analysts '92. Proceedings of the first world congress, Tampa, FL, USA, August 19-26, 1992. 4 volumes. Berlin: de Gruyter. 1203--1214 (1996; Zbl 0843.45007)
Burton, T. A.; Furumochi, Tetsuo; Huang, Qichang Stability in several measures and a differential inequality for a partial integral equation. (English) Zbl 0845.45007 Nonlinear Anal., Theory Methods Appl. 25, No. 9-10, 885-898 (1995). Reviewer: D.M.Bors (Iaşi) MSC: 45K05 45M05 45M10 PDFBibTeX XMLCite \textit{T. A. Burton} et al., Nonlinear Anal., Theory Methods Appl. 25, No. 9--10, 885--898 (1995; Zbl 0845.45007) Full Text: DOI
Burton, T. A.; Furumochi, Tetsuo A stability theory for integral equations. (English) Zbl 0833.45009 J. Integral Equations Appl. 6, No. 4, 445-477 (1994). Reviewer: G.Karakostas (Ioannina) MSC: 45M10 45G10 45M05 PDFBibTeX XMLCite \textit{T. A. Burton} and \textit{T. Furumochi}, J. Integral Equations Appl. 6, No. 4, 445--477 (1994; Zbl 0833.45009) Full Text: DOI
Burton, Theodore A. Liapunov functionals and periodicity in integral equations. (English) Zbl 0808.45009 Tôhoku Math. J., II. Ser. 46, No. 2, 207-220 (1994). Reviewer: O.Staffans (Espoo) MSC: 45G10 45M05 45M15 PDFBibTeX XMLCite \textit{T. A. Burton}, Tôhoku Math. J. (2) 46, No. 2, 207--220 (1994; Zbl 0808.45009) Full Text: DOI
Burton, T. A. Boundedness and periodicity in integral and integro-differential equations. (English) Zbl 0871.45003 Differ. Equ. Dyn. Syst. 1, No. 2, 161-172 (1993). MSC: 45D05 45J05 45M05 45M15 PDFBibTeX XMLCite \textit{T. A. Burton}, Differ. Equ. Dyn. Syst. 1, No. 2, 161--172 (1993; Zbl 0871.45003)
Burton, T. A. Periodic solutions of linear Volterra equations. (English) Zbl 0552.45011 Funkc. Ekvacioj, Ser. Int. 27, 229-253 (1984). Reviewer: O.Staffans MSC: 45J05 45M05 PDFBibTeX XMLCite \textit{T. A. Burton}, Funkc. Ekvacioj, Ser. Int. 27, 229--253 (1984; Zbl 0552.45011)
Burton, T. A. Volterra equations with small kernels. (English) Zbl 0542.45001 J. Integral Equations 5, 271-285 (1983). Reviewer: S.-O.Londen MSC: 45J05 45M05 PDFBibTeX XMLCite \textit{T. A. Burton}, J. Integral Equations 5, 271--285 (1983; Zbl 0542.45001)
Burton, T. A. Perturbed Volterra equations. (English) Zbl 0501.45009 J. Differ. Equations 43, 168-183 (1982). MSC: 45J05 45G10 45M05 45M10 PDFBibTeX XMLCite \textit{T. A. Burton}, J. Differ. Equations 43, 168--183 (1982; Zbl 0501.45009) Full Text: DOI
Burton, T.; Grimmer, R. On the asymptotic behaviour of solutions of \(x''+\alpha (t)f(x)=0\). (English) Zbl 0235.34075 Proc. Camb. Philos. Soc. 70, 77-88 (1971). MSC: 34C11 34D05 34E10 PDFBibTeX XMLCite \textit{T. Burton} and \textit{R. Grimmer}, Proc. Camb. Philos. Soc. 70, 77--88 (1971; Zbl 0235.34075)