Erbe, Lynn; Hassan, Taher S.; Peterson, Allan Oscillation criteria for nonlinear damped dynamic equations on time scales. (English) Zbl 1162.39005 Appl. Math. Comput. 203, No. 1, 343-357 (2008). Reviewer: Edwin Engin Yaz (Milwaukee) MSC: 39A11 39A12 PDFBibTeX XMLCite \textit{L. Erbe} et al., Appl. Math. Comput. 203, No. 1, 343--357 (2008; Zbl 1162.39005) Full Text: DOI
Erbe, L.; Peterson, A.; Saker, S. H. Oscillation criteria for a forced second-order nonlinear dynamic equation. (English) Zbl 1168.34025 J. Difference Equ. Appl. 14, No. 10-11, 997-1009 (2008). Reviewer: Qiru Wang (Guangzhou) MSC: 34C10 39A10 PDFBibTeX XMLCite \textit{L. Erbe} et al., J. Difference Equ. Appl. 14, No. 10--11, 997--1009 (2008; Zbl 1168.34025) Full Text: DOI
Erbe, Lynn; Peterson, Allan Recent results concerning dynamic equations on time scales. (English) Zbl 1177.34008 ETNA, Electron. Trans. Numer. Anal. 27, 51-70 (2007). MSC: 34A30 34A34 34C10 39A10 PDFBibTeX XMLCite \textit{L. Erbe} and \textit{A. Peterson}, ETNA, Electron. Trans. Numer. Anal. 27, 51--70 (2007; Zbl 1177.34008) Full Text: EuDML EMIS
Erbe, L.; Peterson, A.; Saker, S. H. Oscillation criteria for second-order nonlinear delay dynamic equations. (English) Zbl 1125.34046 J. Math. Anal. Appl. 333, No. 1, 505-522 (2007). Reviewer: Qiru Wang (Guangzhou) MSC: 34K11 39A10 PDFBibTeX XMLCite \textit{L. Erbe} et al., J. Math. Anal. Appl. 333, No. 1, 505--522 (2007; Zbl 1125.34046) Full Text: DOI
Erbe, L.; Peterson, A.; Tisdell, C. C. Monotone solutions of dynamic systems on time scales. (English) Zbl 1098.39010 J. Difference Equ. Appl. 12, No. 3-4, 343-355 (2006). Reviewer: Martin Rasmussen (Augsburg) MSC: 39A12 39A11 39A10 PDFBibTeX XMLCite \textit{L. Erbe} et al., J. Difference Equ. Appl. 12, No. 3--4, 343--355 (2006; Zbl 1098.39010) Full Text: DOI
Erbe, Lynn; Peterson, Allan; Tisdell, Christopher C. Existence of solutions to second-order BVPs on time scales. (English) Zbl 1088.39014 Appl. Anal. 84, No. 10, 1069-1078 (2005). Reviewer: N. C. Apreutesei (Iaşi) MSC: 39A12 39A10 34B15 39A11 PDFBibTeX XMLCite \textit{L. Erbe} et al., Appl. Anal. 84, No. 10, 1069--1078 (2005; Zbl 1088.39014) Full Text: DOI
Peterson, Allan C.; Tisdell, Christopher C. Boundedness and uniqueness of solutions to dynamic equations on time scales. (English) Zbl 1072.39017 J. Difference Equ. Appl. 10, No. 13-15, 1295-1306 (2004). Reviewer: Ahmed Hegazi (Mansoura) MSC: 39A12 39A11 34A34 PDFBibTeX XMLCite \textit{A. C. Peterson} and \textit{C. C. Tisdell}, J. Difference Equ. Appl. 10, No. 13--15, 1295--1306 (2004; Zbl 1072.39017) Full Text: DOI
Erbe, Lynn; Peterson, Allan Boundedness and oscillation for nonlinear dynamic equations on a time scale. (English) Zbl 1055.39007 Proc. Am. Math. Soc. 132, No. 3, 735-744 (2004). Reviewer: Qingkai Kong (DeKalb) MSC: 39A11 39A12 93C70 PDFBibTeX XMLCite \textit{L. Erbe} and \textit{A. Peterson}, Proc. Am. Math. Soc. 132, No. 3, 735--744 (2004; Zbl 1055.39007) Full Text: DOI
Erbe, Lynn; Peterson, Allan An oscillation result for a nonlinear dynamic equation on a time scale. (English) Zbl 1086.39004 Can. Appl. Math. Q. 11, No. 2, 143-157 (2003). Reviewer: Alberto Cabada (Santiago de Compostela) MSC: 39A11 39A10 34C10 39A12 PDFBibTeX XMLCite \textit{L. Erbe} and \textit{A. Peterson}, Can. Appl. Math. Q. 11, No. 2, 143--157 (2003; Zbl 1086.39004)
Erbe, Lynn; Peterson, Allan; Saker, S. H. Oscillation criteria for second-order nonlinear dynamic equations on time scales. (English) Zbl 1050.34042 J. Lond. Math. Soc., II. Ser. 67, No. 3, 701-714 (2003). Reviewer: Messoud A. Efendiev (Berlin) MSC: 34C10 39A11 PDFBibTeX XMLCite \textit{L. Erbe} et al., J. Lond. Math. Soc., II. Ser. 67, No. 3, 701--714 (2003; Zbl 1050.34042) Full Text: DOI
Avery, R. I.; Peterson, A. C. Three positive fixed points of nonlinear operators on ordered Banach spaces. (English) Zbl 1005.47051 Comput. Math. Appl. 42, No. 3-5, 313-322 (2001). Reviewer: S.K.Ntouyas (Ioannina) MSC: 47H10 34B15 39A05 47N20 65J15 65Q05 PDFBibTeX XMLCite \textit{R. I. Avery} and \textit{A. C. Peterson}, Comput. Math. Appl. 42, No. 3--5, 313--322 (2001; Zbl 1005.47051) Full Text: DOI
Kelley, Walter G.; Peterson, Allan C. Difference equations. An introduction with applications. 2nd ed. (English) Zbl 0970.39001 San Diego, CA: Harcourt/Academic Press. x, 403 p. (2001). Reviewer: S.Balint (Timişoara) MSC: 39Axx 39-01 39-02 PDFBibTeX XMLCite \textit{W. G. Kelley} and \textit{A. C. Peterson}, Difference equations. An introduction with applications. 2nd ed. San Diego, CA: Harcourt/Academic Press (2001; Zbl 0970.39001)
Erbe, Lynn; Peterson, Allan Eigenvalue conditions and positive solutions. (English) Zbl 0949.34015 J. Difference Equ. Appl. 6, No. 2, 165-191 (2000). MSC: 34B18 34L05 39A10 34B24 PDFBibTeX XMLCite \textit{L. Erbe} and \textit{A. Peterson}, J. Difference Equ. Appl. 6, No. 2, 165--191 (2000; Zbl 0949.34015) Full Text: DOI
Henderson, J.; Peterson, A. Boundary value problems for functional difference equations. (English) Zbl 0856.34074 Appl. Math. Lett. 9, No. 3, 57-61 (1996). Reviewer: A.-A.Yakubu (Washington/D.C.) MSC: 34K10 39B62 34K05 34K30 PDFBibTeX XMLCite \textit{J. Henderson} and \textit{A. Peterson}, Appl. Math. Lett. 9, No. 3, 57--61 (1996; Zbl 0856.34074) Full Text: DOI
Peterson, Allan C.; Ridenhour, Jerry Atkinson’s superlinear oscillation theorem for matrix difference equations. (English) Zbl 0732.34036 SIAM J. Math. Anal. 22, No. 3, 774-784 (1991). Reviewer: Charles A.Swanson (Vancouver) MSC: 34C10 34A34 39A10 PDFBibTeX XMLCite \textit{A. C. Peterson} and \textit{J. Ridenhour}, SIAM J. Math. Anal. 22, No. 3, 774--784 (1991; Zbl 0732.34036) Full Text: DOI
Elaydi, Saber; Peterson, A. Stability of difference equations. (English) Zbl 0722.39004 Differential equations and applications, Proc. Int. Conf., Columbus/OH (USA) 1988, Vol. I, 235-238 (1989). Reviewer: S.Balint (Timişoara) MSC: 39A11 39A10 PDFBibTeX XML
Peterson, Allan C. Existence and uniqueness theorems for nonlinear difference equations. (English) Zbl 0625.39002 J. Math. Anal. Appl. 125, 185-191 (1987). Reviewer: V.C.Boffi MSC: 39A10 PDFBibTeX XMLCite \textit{A. C. Peterson}, J. Math. Anal. Appl. 125, 185--191 (1987; Zbl 0625.39002) Full Text: DOI
Peterson, Allan C. Boundary value problems and Green’s functions for linear difference equations. (English) Zbl 0585.39001 Differential and integral equations, Proc. 12th Midwest Conf., Iowa City/Iowa 1983, 79-100 (1985). MSC: 39A10 39A12 34B27 34C10 PDFBibTeX XML