Mur Voigt, Therese; Walther, Hans-Otto Floquet multipliers of a periodic solution under state-dependent delay. (English) Zbl 07818484 J. Dyn. Differ. Equations 36, No. 1, Suppl., S25-S52 (2024). MSC: 34K13 34K18 37L99 PDFBibTeX XMLCite \textit{T. Mur Voigt} and \textit{H.-O. Walther}, J. Dyn. Differ. Equations 36, No. 1, S25--S52 (2024; Zbl 07818484) Full Text: DOI OA License
Walther, H.-O. Delay differential equations with differentiable solution operators on open domains in \(C((- \infty, 0], \mathbb{R}^n)\) and processes for Volterra integro-differential equations. (English. Russian original) Zbl 07800623 J. Math. Sci., New York 278, No. 2, 264-286 (2024); translation from Sovrem. Mat., Fundam. Napravl. 67, No. 3, 483-506 (2021). MSC: 34K05 PDFBibTeX XMLCite \textit{H. O. Walther}, J. Math. Sci., New York 278, No. 2, 264--286 (2024; Zbl 07800623); translation from Sovrem. Mat., Fundam. Napravl. 67, No. 3, 483--506 (2021) Full Text: DOI arXiv
Krisztin, Tibor; Walther, Hans-Otto Solution manifolds of differential systems with discrete stated-dependent delays are almost graphs. (English) Zbl 1525.34116 Discrete Contin. Dyn. Syst. 43, No. 8, 2973-2984 (2023). Reviewer: Bernhard Lani-Wayda (Gießen) MSC: 34K43 34K19 34K05 PDFBibTeX XMLCite \textit{T. Krisztin} and \textit{H.-O. Walther}, Discrete Contin. Dyn. Syst. 43, No. 8, 2973--2984 (2023; Zbl 1525.34116) Full Text: DOI arXiv
Walther, Hans-Otto On solution manifolds of differential systems with discrete state-dependent delays. (English) Zbl 1512.34116 Discrete Contin. Dyn. Syst., Ser. S 16, No. 3-4, 627-638 (2023). MSC: 34K05 34K43 58B99 PDFBibTeX XMLCite \textit{H.-O. Walther}, Discrete Contin. Dyn. Syst., Ser. S 16, No. 3--4, 627--638 (2023; Zbl 1512.34116) Full Text: DOI
Walther, Hans-Otto Dense short solution segments from monotonic delayed arguments. (English) Zbl 1507.34076 J. Dyn. Differ. Equations 34, No. 4, 2867-2900 (2022). MSC: 34K05 34K43 PDFBibTeX XMLCite \textit{H.-O. Walther}, J. Dyn. Differ. Equations 34, No. 4, 2867--2900 (2022; Zbl 1507.34076) Full Text: DOI
Gedeon, Tomáš; Humphries, Antony R.; Mackey, Michael C.; Walther, Hans-Otto; Wang, Zhao Operon dynamics with state dependent transcription and/or translation delays. (English) Zbl 1480.92074 J. Math. Biol. 84, No. 1-2, Paper No. 2, 74 p. (2022). MSC: 92C40 92C37 34K43 37G15 34K16 PDFBibTeX XMLCite \textit{T. Gedeon} et al., J. Math. Biol. 84, No. 1--2, Paper No. 2, 74 p. (2022; Zbl 1480.92074) Full Text: DOI arXiv
Walther, H.-O. Maps that are continuously differentiable in the Michal and Bastiani sense but not in the Fréchet sense. (English. Russian original) Zbl 1491.46029 J. Math. Sci., New York 259, No. 6, 761-774 (2021); translation from Sovrem. Mat., Fundam. Napravl. 63, No. 4, 543-556 (2017). MSC: 46G05 46T20 49J50 PDFBibTeX XMLCite \textit{H. O. Walther}, J. Math. Sci., New York 259, No. 6, 761--774 (2021; Zbl 1491.46029); translation from Sovrem. Mat., Fundam. Napravl. 63, No. 4, 543--556 (2017) Full Text: DOI
Walther, Hans-Otto Solution manifolds which are almost graphs. (English) Zbl 1503.34112 J. Differ. Equations 293, 226-248 (2021). Reviewer: Bernhard Lani-Wayda (Gießen) MSC: 34K05 34K43 05C62 PDFBibTeX XMLCite \textit{H.-O. Walther}, J. Differ. Equations 293, 226--248 (2021; Zbl 1503.34112) Full Text: DOI
Walther, Hans-Otto Solutions with dense short segments from regular delays. (English) Zbl 1436.34065 J. Differ. Equations 268, No. 11, 6821-6871 (2020). MSC: 34K05 34K23 34K43 PDFBibTeX XMLCite \textit{H.-O. Walther}, J. Differ. Equations 268, No. 11, 6821--6871 (2020; Zbl 1436.34065) Full Text: DOI
Walther, Hans-Otto A delay differential equation with a solution whose shortened segments are dense. (English) Zbl 1422.34187 J. Dyn. Differ. Equations 31, No. 3, 1495-1523 (2019). MSC: 34K05 PDFBibTeX XMLCite \textit{H.-O. Walther}, J. Dyn. Differ. Equations 31, No. 3, 1495--1523 (2019; Zbl 1422.34187) Full Text: DOI
Lani-Wayda, Bernhard; Walther, Hans-Otto A Shilnikov phenomenon due to state-dependent delay, by means of the fixed point index. (English) Zbl 1352.34100 J. Dyn. Differ. Equations 28, No. 3-4, 627-688 (2016). MSC: 34K23 37B10 PDFBibTeX XMLCite \textit{B. Lani-Wayda} and \textit{H.-O. Walther}, J. Dyn. Differ. Equations 28, No. 3--4, 627--688 (2016; Zbl 1352.34100) Full Text: DOI
Chow, Shui-Nee; Nussbaum, Roger D.; Walther, Hans-Otto John Mallet-Paret 60. (English) Zbl 1348.01017 J. Dyn. Differ. Equations 28, No. 3-4, 595-603 (2016). MSC: 01A70 PDFBibTeX XMLCite \textit{S.-N. Chow} et al., J. Dyn. Differ. Equations 28, No. 3--4, 595--603 (2016; Zbl 1348.01017) Full Text: DOI
Barbarossa, M. V.; Walther, H.-O. Linearized stability for a new class of neutral equations with state-dependent delay. (English) Zbl 1365.34124 Differ. Equ. Dyn. Syst. 24, No. 1, 63-79 (2016). Reviewer: Ábel Garab (Szeged) MSC: 34K20 34K40 92D25 34K21 PDFBibTeX XMLCite \textit{M. V. Barbarossa} and \textit{H. O. Walther}, Differ. Equ. Dyn. Syst. 24, No. 1, 63--79 (2016; Zbl 1365.34124) Full Text: DOI
Walther, Hans-Otto A homoclinic loop generated by variable delay. (English) Zbl 1339.34077 J. Dyn. Differ. Equations 27, No. 3-4, 1101-1139 (2015). MSC: 34K19 34K23 37L99 37C29 PDFBibTeX XMLCite \textit{H.-O. Walther}, J. Dyn. Differ. Equations 27, No. 3--4, 1101--1139 (2015; Zbl 1339.34077) Full Text: DOI
Walther, Hans-Otto Merging homoclinic solutions due to state-dependent delay. (English) Zbl 1326.34107 J. Differ. Equations 259, No. 2, 473-509 (2015). Reviewer: Panagiotis Ch. Tsamatos (Ioannina) MSC: 34K10 34K05 PDFBibTeX XMLCite \textit{H.-O. Walther}, J. Differ. Equations 259, No. 2, 473--509 (2015; Zbl 1326.34107) Full Text: DOI
Walther, Hans-Otto Differential equations with locally bounded delay. (English) Zbl 1241.34072 J. Differ. Equations 252, No. 4, 3001-3039 (2012). Reviewer: Sotiris K. Ntouyas (Ioannina) MSC: 34K05 34K19 58B99 34K21 PDFBibTeX XMLCite \textit{H.-O. Walther}, J. Differ. Equations 252, No. 4, 3001--3039 (2012; Zbl 1241.34072) Full Text: DOI
Walther, Hans-Otto More on linearized stability for neutral equations with state-dependent delays. (English) Zbl 1268.34137 Differ. Equ. Dyn. Syst. 19, No. 4, 315-333 (2011). Reviewer: Anatoly Martynyuk (Kyïv) MSC: 34K20 34K40 PDFBibTeX XMLCite \textit{H.-O. Walther}, Differ. Equ. Dyn. Syst. 19, No. 4, 315--333 (2011; Zbl 1268.34137) Full Text: DOI
Walther, Hans-Otto Linearized stability for semiflows generated by a class of neutral equations, with applications to state-dependent delays. (English) Zbl 1208.34116 J. Dyn. Differ. Equations 22, No. 3, 439-462 (2010). Reviewer: Alexander O. Ignatyev (Donetsk) MSC: 34K20 34K40 37L15 PDFBibTeX XMLCite \textit{H.-O. Walther}, J. Dyn. Differ. Equations 22, No. 3, 439--462 (2010; Zbl 1208.34116) Full Text: DOI
Walther, Hans-Otto Algebraic-delay differential systems, state-dependent delay, and temporal order of reactions. (English) Zbl 1167.34026 J. Dyn. Differ. Equations 21, No. 1, 195-232 (2009). MSC: 34K05 37L99 92C30 PDFBibTeX XMLCite \textit{H.-O. Walther}, J. Dyn. Differ. Equations 21, No. 1, 195--232 (2009; Zbl 1167.34026) Full Text: DOI
Walther, Hans-Otto A periodic solution of a differential equation with state-dependent delay. (English) Zbl 1146.34048 J. Differ. Equations 244, No. 8, 1910-1945 (2008). Reviewer: Mustapha Yebdri (Tlemcen) MSC: 34K13 34K19 PDFBibTeX XMLCite \textit{H.-O. Walther}, J. Differ. Equations 244, No. 8, 1910--1945 (2008; Zbl 1146.34048) Full Text: DOI
Walther, Hans-Otto On a model for soft landing with state-dependent delay. (English) Zbl 1134.34037 J. Dyn. Differ. Equations 19, No. 3, 593-622 (2007). Reviewer: Vladimir Răsvan (Craiova) MSC: 34K05 34K19 70Q05 PDFBibTeX XMLCite \textit{H.-O. Walther}, J. Dyn. Differ. Equations 19, No. 3, 593--622 (2007; Zbl 1134.34037) Full Text: DOI
Walther, Hans-Otto Bifurcation of periodic solutions with large periods for a delay differential equation. (English) Zbl 1232.34099 Ann. Mat. Pura Appl. (4) 185, No. 4, 577-611 (2006). MSC: 34K18 34K13 37G15 PDFBibTeX XMLCite \textit{H.-O. Walther}, Ann. Mat. Pura Appl. (4) 185, No. 4, 577--611 (2006; Zbl 1232.34099) Full Text: DOI
Skubachevskii, Alexander L.; Walther, Hans-Otto On the floquet multipliers of periodic solutions to nonlinear functional differential equations. (English) Zbl 1116.34054 J. Dyn. Differ. Equations 18, No. 2, 257-355 (2006). Reviewer: Bernhard Lani-Wayda (Giessen) MSC: 34K13 34K20 PDFBibTeX XMLCite \textit{A. L. Skubachevskii} and \textit{H.-O. Walther}, J. Dyn. Differ. Equations 18, No. 2, 257--355 (2006; Zbl 1116.34054) Full Text: DOI
Skubachevskii, A. L.; Walther, H.-O. On the hyperbolicity of rapidly oscillating periodic solutions of functional differential equations. (English. Russian original) Zbl 1093.34556 Funct. Anal. Appl. 39, No. 1, 68-70 (2005); translation from Funkts. Anal. Prilozh. 39, No. 1, 82-85 (2005). Reviewer: R. G. Koplatadze (Tbilisi) MSC: 34K13 PDFBibTeX XMLCite \textit{A. L. Skubachevskii} and \textit{H. O. Walther}, Funct. Anal. Appl. 39, No. 1, 68--70 (2005; Zbl 1093.34556); translation from Funkts. Anal. Prilozh. 39, No. 1, 82--85 (2005) Full Text: DOI
Brunovský, Pavol; Erdélyi, Alexander; Walther, Hans-Otto On a model of a currency exchange rate – local stability and periodic solutions. (English) Zbl 1078.34061 J. Dyn. Differ. Equations 16, No. 2, 393-432 (2004). Reviewer: Marcos Lizana (Merida) MSC: 34K60 34K13 34K18 PDFBibTeX XMLCite \textit{P. Brunovský} et al., J. Dyn. Differ. Equations 16, No. 2, 393--432 (2004; Zbl 1078.34061) Full Text: DOI
Lani-Wayda, Bernhard; Walther, Hans-Otto Chaotic motion generated by delayed negative feedback. II: Construction of nonlinearities. (English) Zbl 0853.34065 Math. Nachr. 180, 141-211 (1996); Errata ibid. 184, 329 (1997). Reviewer: Ding Tongren (Beijing) MSC: 34K99 37D45 PDFBibTeX XMLCite \textit{B. Lani-Wayda} and \textit{H.-O. Walther}, Math. Nachr. 180, 141--211 (1996; Zbl 0853.34065) Full Text: DOI
Steinlein, Heinrich; Walther, Hans-Otto Hyperbolic sets, transversal homoclinic trajectories, and symbolic dynamics for \(C^ 1\)-maps in Banach spaces. (English) Zbl 0702.58051 J. Dyn. Differ. Equations 2, No. 3, 325-365 (1990). Reviewer: W.J.Satzer jun MSC: 37D99 37E99 PDFBibTeX XMLCite \textit{H. Steinlein} and \textit{H.-O. Walther}, J. Dyn. Differ. Equations 2, No. 3, 325--365 (1990; Zbl 0702.58051) Full Text: DOI
Walther, Hans-Otto Inclination lemmas with dominated convergence. (English) Zbl 0634.58017 Z. Angew. Math. Phys. 38, 327-337 (1987). Reviewer: N.Ivanov MSC: 37D99 PDFBibTeX XMLCite \textit{H.-O. Walther}, Z. Angew. Math. Phys. 38, 327--337 (1987; Zbl 0634.58017) Full Text: DOI
Walther, Hans-Otto Bifurcation from a heteroclinic solution in differential delay equations. (English) Zbl 0579.34051 Trans. Am. Math. Soc. 290, 213-233 (1985). MSC: 34K99 37-XX PDFBibTeX XMLCite \textit{H.-O. Walther}, Trans. Am. Math. Soc. 290, 213--233 (1985; Zbl 0579.34051) Full Text: DOI
Walther, Hans-Otto Bifurcation from periodic solutions in functional difference equations. (English) Zbl 0488.34066 Math. Z. 182, 269-289 (1983). MSC: 34K99 34C25 PDFBibTeX XMLCite \textit{H.-O. Walther}, Math. Z. 182, 269--289 (1983; Zbl 0488.34066) Full Text: DOI EuDML
Walther, Hans-Otto Density of slowly oscillating solutions of x(t)=-f(x(t-1)). (English) Zbl 0451.34063 J. Math. Anal. Appl. 79, 127-140 (1981). MSC: 34K99 34C10 PDFBibTeX XMLCite \textit{H.-O. Walther}, J. Math. Anal. Appl. 79, 127--140 (1981; Zbl 0451.34063) Full Text: DOI
Walther, H.-O. On a transcendental equation in the stability analysis of a population growth model. (English) Zbl 0339.92009 J. Math. Biol. 3, 187-195 (1976). MSC: 92D25 34K20 PDFBibTeX XMLCite \textit{H. O. Walther}, J. Math. Biol. 3, 187--195 (1976; Zbl 0339.92009) Full Text: DOI
Walther, Hans-Otto Stability of attractivity regions for autonomous functional differential equations. (English) Zbl 0321.34064 Manuscr. Math. 15, 349-363 (1975). MSC: 34K20 34D35 PDFBibTeX XMLCite \textit{H.-O. Walther}, Manuscr. Math. 15, 349--363 (1975; Zbl 0321.34064) Full Text: DOI EuDML