Řehák, Pavel Asymptotics of perturbed discrete Euler equations in the critical case. (English) Zbl 1459.39024 J. Math. Anal. Appl. 496, No. 2, Article ID 124825, 10 p. (2021). MSC: 39A21 39A22 PDFBibTeX XMLCite \textit{P. Řehák}, J. Math. Anal. Appl. 496, No. 2, Article ID 124825, 10 p. (2021; Zbl 1459.39024) Full Text: DOI
Dosla, Zuzana; Matucci, Serena; Řehák, Pavel Decaying positive global solutions of second order difference equations with mean curvature operator. (English) Zbl 1474.39034 Electron. J. Qual. Theory Differ. Equ. 2020, Paper No. 72, 16 p. (2020). MSC: 39A27 39A22 39A05 39A12 39A70 PDFBibTeX XMLCite \textit{Z. Dosla} et al., Electron. J. Qual. Theory Differ. Equ. 2020, Paper No. 72, 16 p. (2020; Zbl 1474.39034) Full Text: DOI arXiv
Řehák, Pavel Refined discrete regular variation and its applications. (English) Zbl 1444.40001 Math. Methods Appl. Sci. 42, No. 18, 6009-6020 (2019). MSC: 40A05 26A12 39A12 26E70 PDFBibTeX XMLCite \textit{P. Řehák}, Math. Methods Appl. Sci. 42, No. 18, 6009--6020 (2019; Zbl 1444.40001) Full Text: DOI
Řehák, Pavel The Karamata integration theorem on time scales and its applications in dynamic and difference equations. (English) Zbl 1427.26001 Appl. Math. Comput. 338, 487-506 (2018). MSC: 26A12 26E70 34E05 34N05 39A12 39A22 PDFBibTeX XMLCite \textit{P. Řehák}, Appl. Math. Comput. 338, 487--506 (2018; Zbl 1427.26001) Full Text: DOI
Řehák, Pavel An asymptotic analysis of nonoscillatory solutions of \(q\)-difference equations via \(q\)-regular variation. (English) Zbl 1367.39001 J. Math. Anal. Appl. 454, No. 2, 829-882 (2017). MSC: 39A13 39A22 39A21 PDFBibTeX XMLCite \textit{P. Řehák}, J. Math. Anal. Appl. 454, No. 2, 829--882 (2017; Zbl 1367.39001) Full Text: DOI
Řehák, Pavel A few remarks on Poincaré-Perron solutions and regularly varying solutions. (English) Zbl 1413.34064 Math. Slovaca 66, No. 6, 1297-1318 (2016). MSC: 34A30 26A12 39A12 39A13 34C10 39A21 PDFBibTeX XMLCite \textit{P. Řehák}, Math. Slovaca 66, No. 6, 1297--1318 (2016; Zbl 1413.34064) Full Text: DOI
Rehák, Pavel Asymptotic formulae for solutions of linear second-order difference equations. (English) Zbl 1338.39025 J. Difference Equ. Appl. 22, No. 1, 107-139 (2016). MSC: 39A22 39A12 26A12 PDFBibTeX XMLCite \textit{P. Rehák}, J. Difference Equ. Appl. 22, No. 1, 107--139 (2016; Zbl 1338.39025) Full Text: DOI
Rehak, Pavel A note on asymptotics and nonoscillation of linear \(q\)-difference equations. (English) Zbl 1324.39010 Electron. J. Qual. Theory Differ. Equ. 2012, Suppl., Paper No. 12, 12 p. (2012). MSC: 39A13 39A22 39A10 39A12 39A21 26A12 PDFBibTeX XMLCite \textit{P. Rehak}, Electron. J. Qual. Theory Differ. Equ. 2012, Paper No. 12, 12 p. (2012; Zbl 1324.39010) Full Text: Link
Řehák, Pavel On a certain asymptotic class of solutions to second-order linear \(q\)-difference equations. (English) Zbl 1255.39006 J. Phys. A, Math. Theor. 45, No. 5, Article ID 055202, 19 p. (2012). Reviewer: Miloš Čanak (Beograd) MSC: 39A13 39A21 39A22 39A06 PDFBibTeX XMLCite \textit{P. Řehák}, J. Phys. A, Math. Theor. 45, No. 5, Article ID 055202, 19 p. (2012; Zbl 1255.39006) Full Text: DOI
Řehák, Pavel; Vítovec, Jiří \(q\)-Karamata functions and second order \(q\)-difference equations. (English) Zbl 1340.26002 Electron. J. Qual. Theory Differ. Equ. 2011, Paper No. 24, 20 p. (2011). MSC: 26A12 39A12 39A13 PDFBibTeX XMLCite \textit{P. Řehák} and \textit{J. Vítovec}, Electron. J. Qual. Theory Differ. Equ. 2011, Paper No. 24, 20 p. (2011; Zbl 1340.26002) Full Text: DOI
Řehák, Pavel Second order linear \(q\)-difference equations: nonoscillation and asymptotics. (English) Zbl 1249.26002 Czech. Math. J. 61, No. 4, 1107-1134 (2011). MSC: 26A12 39A12 39A13 PDFBibTeX XMLCite \textit{P. Řehák}, Czech. Math. J. 61, No. 4, 1107--1134 (2011; Zbl 1249.26002) Full Text: DOI EuDML
Řehák, Pavel Asymptotic behavior of solutions to half-linear \(q\)-difference equations. (English) Zbl 1208.39009 Abstr. Appl. Anal. 2011, Article ID 986343, 12 p. (2011). MSC: 39A13 39A22 PDFBibTeX XMLCite \textit{P. Řehák}, Abstr. Appl. Anal. 2011, Article ID 986343, 12 p. (2011; Zbl 1208.39009) Full Text: DOI
Matucci, Serena; Řehák, Pavel Regularly varying solutions of second-order difference equations with arbitrary sign coefficient. (English) Zbl 1217.39020 Adv. Difference Equ. 2010, Article ID 673761, 16 p. (2010). Reviewer: Minh Van Nguyen (Carrollton) MSC: 39A22 39A06 PDFBibTeX XMLCite \textit{S. Matucci} and \textit{P. Řehák}, Adv. Difference Equ. 2010, Article ID 673761, 16 p.. (2010; Zbl 1217.39020) Full Text: DOI
Řehák, Pavel; Vítovec, Jiří Regular variation on measure chains. (English) Zbl 1179.26005 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 72, No. 1, 439-448 (2010). MSC: 26A12 26E70 34C11 39A12 PDFBibTeX XMLCite \textit{P. Řehák} and \textit{J. Vítovec}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 72, No. 1, 439--448 (2010; Zbl 1179.26005) Full Text: DOI
Řehák, Pavel A Willett type criterion with the best possible constant for linear dynamic equations. (English) Zbl 1182.39004 Elaydi, Saber (ed.) et al., Advances in discrete dynamical systems. Proceedings of the 11th international conference on difference equations and applications (ICDEA 06), Kyoto, Japan, July 24–28, 2006. Tokyo: Mathematical Society of Japan (ISBN 978-4-931469-49-5/hbk). Advanced Studies in Pure Mathematics 53, 261-269 (2009). MSC: 39A12 PDFBibTeX XMLCite \textit{P. Řehák}, Adv. Stud. Pure Math. 53, 261--269 (2009; Zbl 1182.39004)
Matucci, Serena; Řehák, Pavel Rapidly varying decreasing solutions of half-linear difference equations. (English) Zbl 1165.39308 Math. Comput. Modelling 49, No. 7-8, 1692-1699 (2009). MSC: 39A11 PDFBibTeX XMLCite \textit{S. Matucci} and \textit{P. Řehák}, Math. Comput. Modelling 49, No. 7--8, 1692--1699 (2009; Zbl 1165.39308) Full Text: DOI
Řehák, Pavel Regular variation on time scales and dynamic equations. (English) Zbl 1167.26301 Aust. J. Math. Anal. Appl. 5, No. 2, Article No. 5, 1-10 (2008). MSC: 26A12 39A11 34C11 39A12 PDFBibTeX XMLCite \textit{P. Řehák}, Aust. J. Math. Anal. Appl. 5, No. 2, Article No. 5, 1--10 (2008; Zbl 1167.26301) Full Text: Link
Řehák, Pavel; Vítovec, Jiří \(q\)-regular variation and \(q\)-difference equations. (English) Zbl 1171.39006 J. Phys. A, Math. Theor. 41, No. 49, Article ID 495203, 10 p. (2008). Reviewer: Vojislav Marić (Novi Sad) MSC: 39A13 05A30 39A12 26A12 PDFBibTeX XMLCite \textit{P. Řehák} and \textit{J. Vítovec}, J. Phys. A, Math. Theor. 41, No. 49, Article ID 495203, 10 p. (2008; Zbl 1171.39006) Full Text: DOI
Matucci, Serena; Řehák, Pavel Regularly varying sequences and second order difference equations. (English) Zbl 1147.26002 J. Difference Equ. Appl. 14, No. 1, 17-30 (2008). Reviewer: Janos Galambos (Philadelphia) MSC: 26A12 39A11 39A12 PDFBibTeX XMLCite \textit{S. Matucci} and \textit{P. Řehák}, J. Difference Equ. Appl. 14, No. 1, 17--30 (2008; Zbl 1147.26002) Full Text: DOI
Erbe, Lynn; Peterson, Allan; Řehák, Pavel Integral comparison theorems for second-order linear dynamic equations. (English) Zbl 1127.39029 Elaydi, S. (ed.) et al., Difference equations, special functions and orthogonal polynomials. Proceedings of the international conference, Munich, Germany, July 25–30, 2005. Hackensack, NJ: World Scientific (ISBN 978-981-270-643-0/hbk). 497-506 (2007). MSC: 39A12 PDFBibTeX XMLCite \textit{L. Erbe} et al., in: Difference equations, special functions and orthogonal polynomials. Proceedings of the international conference, Munich, Germany, July 25--30, 2005. Hackensack, NJ: World Scientific. 497--506 (2007; Zbl 1127.39029)
Marini, M.; Matucci, S.; Řehák, P. Asymptotic boundary value problems for discrete systems. (English) Zbl 1128.39007 Elaydi, S. (ed.) et al., Difference equations, special functions and orthogonal polynomials. Proceedings of the international conference, Munich, Germany, July 25–30, 2005. Hackensack, NJ: World Scientific (ISBN 978-981-270-643-0/hbk). 394-403 (2007). MSC: 39A11 39A12 34B15 PDFBibTeX XMLCite \textit{M. Marini} et al., in: Difference equations, special functions and orthogonal polynomials. Proceedings of the international conference, Munich, Germany, July 25--30, 2005. Hackensack, NJ: World Scientific. 394--403 (2007; Zbl 1128.39007)
Matucci, Serena; Řehák, Pavel Nonoscillatory solutions of a second-order nonlinear discrete system. (English) Zbl 1126.39006 Appl. Math. Comput. 190, No. 1, 833-845 (2007). Reviewer: Rodica Luca Tudorache (Iaşi) MSC: 39A11 39A12 PDFBibTeX XMLCite \textit{S. Matucci} and \textit{P. Řehák}, Appl. Math. Comput. 190, No. 1, 833--845 (2007; Zbl 1126.39006) Full Text: DOI
Řehák, Pavel How the constants in Hille-Nehari theorems depend on time scales. (English) Zbl 1139.39301 Adv. Difference Equ. 2006, Article ID 64534, 15 p. (2006). MSC: 39A11 39A12 PDFBibTeX XMLCite \textit{P. Řehák}, Adv. Difference Equ. 2006, Article ID 64534, 15 p. (2006; Zbl 1139.39301) Full Text: DOI EuDML
Marini, Mauro; Matucci, Serena; Řehák, Pavel Boundary value problems for functional difference equations on infinite intervals. (English) Zbl 1133.39015 Adv. Difference Equ. 2006, Article ID 31283, 14 p. (2006). MSC: 39A12 39A11 PDFBibTeX XMLCite \textit{M. Marini} et al., Adv. Difference Equ. 2006, Article ID 31283, 14 p. (2006; Zbl 1133.39015) Full Text: DOI EuDML
Řehák, Pavel Function sequence technique for half-linear dynamic equations on time scales. (English) Zbl 1102.34020 Panam. Math. J. 16, No. 1, 31-56 (2006). Reviewer: Christian Pötzsche (Neuherberg) MSC: 34C10 39A14 39A13 PDFBibTeX XMLCite \textit{P. Řehák}, Panam. Math. J. 16, No. 1, 31--56 (2006; Zbl 1102.34020)
Řehák, Pavel Hardy inequality on time scales and its application to half-linear dynamic equations. (English) Zbl 1107.26015 J. Inequal. Appl. 2005, No. 5, 495-507 (2005). Reviewer: Liu Zheng (Anshan) MSC: 26D10 39A10 PDFBibTeX XMLCite \textit{P. Řehák}, J. Inequal. Appl. 2005, No. 5, 495--507 (2005; Zbl 1107.26015) Full Text: DOI EuDML
Matucci, Serena; Řehák, Pavel Necessary and sufficient conditions for oscillation of coupled nonlinear discrete systems. (English) Zbl 1095.39007 Allen, Linda J. S. (ed.) et al., Difference equations and discrete dynamical systems. Proceedings of the 9th international conference, Los Angeles, CA, USA, August 2–7, 2004. Hackensack, NJ: World Scientific (ISBN 981-256-520-5/hbk). 171-183 (2005). MSC: 39A11 39A10 PDFBibTeX XMLCite \textit{S. Matucci} and \textit{P. Řehák}, in: Difference equations and discrete dynamical systems. Proceedings of the 9th international conference, Los Angeles, CA, USA, August 2--7, 2004. Hackensack, NJ: World Scientific. 171--183 (2005; Zbl 1095.39007)
Došlý, Ondřej; Řehák, Pavel Half-linear differential equations. (English) Zbl 1090.34001 North-Holland Mathematics Studies 202. Amsterdam: Elsevier (ISBN 0-444-52039-2/hbk). xiv, 517 p. (2005). Reviewer: Robert Mařík (Brno) MSC: 34-02 34C10 39A10 35B05 34N05 PDFBibTeX XMLCite \textit{O. Došlý} and \textit{P. Řehák}, Half-linear differential equations. Amsterdam: Elsevier (2005; Zbl 1090.34001)
Řehák, Pavel On certain comparison theorems for half-linear dynamic equations on time scales. (English) Zbl 1106.34019 Siafarikas, Panayiotis D. (ed.), International conference on differential, difference equations and their applications, July 1–5, 2002, Patras, Greece. Cairo: Hindawi Publishing Corporation (ISBN 977-5945-14-3/hbk). 297-311 (2004). Reviewer: Christian Poetzsche (München) MSC: 34C10 39A10 PDFBibTeX XMLCite \textit{P. Řehák}, in: International conference on differential, difference equations and their applications, July 1--5, 2002, Patras, Greece. Cairo: Hindawi Publishing Corporation. 297--311 (2004; Zbl 1106.34019)
Řehák, Pavel Opial and Lyapunov type inequalities for half-linear dynamic equations. (English) Zbl 1089.26008 Dyn. Syst. Appl. 13, No. 3-4, 445-458 (2004). Reviewer: Stefan Hilger (Eichstätt) MSC: 26D15 39A10 PDFBibTeX XMLCite \textit{P. Řehák}, Dyn. Syst. Appl. 13, No. 3--4, 445--458 (2004; Zbl 1089.26008)
Řehák, Pavel On certain comparison theorems for half-linear dynamic equations on time scales. (English) Zbl 1068.34031 Abstr. Appl. Anal. 2004, No. 7, 551-565 (2004). MSC: 34C10 39A10 PDFBibTeX XMLCite \textit{P. Řehák}, Abstr. Appl. Anal. 2004, No. 7, 551--565 (2004; Zbl 1068.34031) Full Text: DOI EuDML
Marini, Mauro; Matucci, Serena; Řehák, Pavel Strongly decaying solutions of nonlinear forced discrete systems. (English) Zbl 1065.39016 Aulbach, Bernd (ed.) et al., New progress in difference equations. Proceedings of the 6th international conference on difference equations, Augsburg, Germany July 30–August 3, 2001. Boca Raton, FL: CRC Press (ISBN 0-415-31675-8/hbk). 493-500 (2004). MSC: 39A11 PDFBibTeX XMLCite \textit{M. Marini} et al., in: New progress in difference equations. Proceedings of the 6th international conference on difference equations, Augsburg, Germany July 30--August 3, 2001. Boca Raton, FL: CRC Press. 493--500 (2004; Zbl 1065.39016)
Malaguti, L.; Řehák, P.; Taddei, V. Bounded solutions and wavefronts for discrete dynamics. (English) Zbl 1066.39019 Comput. Math. Appl. 47, No. 6-7, 1079-1094 (2004). Reviewer: Vladimir Răsvan (Craiova) MSC: 39A12 39A11 34B15 PDFBibTeX XMLCite \textit{L. Malaguti} et al., Comput. Math. Appl. 47, No. 6--7, 1079--1094 (2004; Zbl 1066.39019) Full Text: DOI
Marini, Mauro; Matucci, Serena; Řehák, Pavel Oscillation of coupled nonlinear discrete systems. (English) Zbl 1055.39016 J. Math. Anal. Appl. 295, No. 2, 459-472 (2004). Reviewer: Costică Moroşanu (Iaşi) MSC: 39A11 PDFBibTeX XMLCite \textit{M. Marini} et al., J. Math. Anal. Appl. 295, No. 2, 459--472 (2004; Zbl 1055.39016) Full Text: DOI
Agarwal, R. P.; Bohner, M.; Řehák, P. Half-linear dynamic equations. (English) Zbl 1056.34049 Agarwal, Ravi P. (ed.) et al., Nonlinear analysis and applications: To V. Lakshmikantham on his 80th birthday. Vol. 1. Dordrecht: Kluwer Academic Publishers (ISBN 1-4020-1711-1/hbk). 1-57 (2003). Reviewer: Christian Poetzsche (Minneapolis) MSC: 34C10 34A12 34B24 39A11 PDFBibTeX XMLCite \textit{R. P. Agarwal} et al., in: Nonlinear analysis and applications: To V. Lakshmikantham on his 80th birthday. Vol. 1. Dordrecht: Kluwer Academic Publishers. 1--57 (2003; Zbl 1056.34049)
Hilscher, Roman; Řehák, Pavel Riccati inequality, disconjugacy, and reciprocity principle for linear Hamiltonian dynamic systems. (English) Zbl 1046.39009 Dyn. Syst. Appl. 12, No. 1-2, 171-189 (2003). Reviewer: Khalil Ezzinbi (Marrakech) MSC: 39A12 34C10 PDFBibTeX XMLCite \textit{R. Hilscher} and \textit{P. Řehák}, Dyn. Syst. Appl. 12, No. 1--2, 171--189 (2003; Zbl 1046.39009)
Řehák, Pavel Comparison theorems and strong oscillation in the half-linear discrete oscillation theory. (English) Zbl 1044.39001 Rocky Mt. J. Math. 33, No. 1, 333-352 (2003). Reviewer: Samir H. Saker (Mansoura) MSC: 39A11 PDFBibTeX XMLCite \textit{P. Řehák}, Rocky Mt. J. Math. 33, No. 1, 333--352 (2003; Zbl 1044.39001) Full Text: DOI Link
Došlý, Ondřej; Řehák, Pavel Recessive solution of half-linear second order difference equations. (English) Zbl 1033.39008 J. Difference Equ. Appl. 9, No. 1, 49-61 (2003). Reviewer: Dobiesław Bobrowski (Poznań) MSC: 39A11 PDFBibTeX XMLCite \textit{O. Došlý} and \textit{P. Řehák}, J. Difference Equ. Appl. 9, No. 1, 49--61 (2003; Zbl 1033.39008)
Řehák, Pavel Half-linear dynamic equations on time scales: IVP and oscillatory properties. (English) Zbl 1037.34002 Nonlinear Funct. Anal. Appl. 7, No. 3, 361-403 (2002). Reviewer: Christian Pötzsche (Augsburg) MSC: 34A12 34N05 34C10 39A10 PDFBibTeX XMLCite \textit{P. Řehák}, Nonlinear Funct. Anal. Appl. 7, No. 3, 361--403 (2002; Zbl 1037.34002)
Erbe, Lynn; Peterson, Allan; Řehák, Pavel Comparison theorems for linear dynamic equations on time scales. (English) Zbl 1034.34042 J. Math. Anal. Appl. 275, No. 1, 418-438 (2002). Reviewer: Zuzana Došlá (Brno) MSC: 34C11 39A12 PDFBibTeX XMLCite \textit{L. Erbe} et al., J. Math. Anal. Appl. 275, No. 1, 418--438 (2002; Zbl 1034.34042) Full Text: DOI
Došlý, O.; Řehák, P. Nonoscillation criteria for half-linear second-order difference equations. (English) Zbl 1006.39012 Comput. Math. Appl. 42, No. 3-5, 453-464 (2001). Reviewer: Ioannis P.Stavroulakis (Ioannina) MSC: 39A11 PDFBibTeX XMLCite \textit{O. Došlý} and \textit{P. Řehák}, Comput. Math. Appl. 42, No. 3--5, 453--464 (2001; Zbl 1006.39012) Full Text: DOI
Řehák, Pavel Oscillation criteria for second order half-linear difference equations. (English) Zbl 1009.39012 J. Difference Equ. Appl. 7, No. 4, 483-505 (2001). MSC: 39A11 PDFBibTeX XMLCite \textit{P. Řehák}, J. Difference Equ. Appl. 7, No. 4, 483--505 (2001; Zbl 1009.39012) Full Text: DOI
Řehák, Pavel Oscillatory properties of second order half-linear difference equations. (English) Zbl 0982.39004 Czech. Math. J. 51, No. 2, 303-321 (2001). MSC: 39A11 PDFBibTeX XMLCite \textit{P. Řehák}, Czech. Math. J. 51, No. 2, 303--321 (2001; Zbl 0982.39004) Full Text: DOI EuDML
Řehák, Pavel Oscillation and nonoscillation criteria for second order linear difference equations. (English) Zbl 0999.39006 Fasc. Math. 31, 71-89 (2001). Reviewer: E.Thandapani (Salem) MSC: 39A11 PDFBibTeX XMLCite \textit{P. Řehák}, Fasc. Math. 31, 71--89 (2001; Zbl 0999.39006)
Řehák, P. Generalized discrete Riccati equation and oscillation of half-linear difference equations. (English) Zbl 1038.39002 Math. Comput. Modelling 34, No. 3-4, 257-269 (2001). MSC: 39A11 39A12 PDFBibTeX XMLCite \textit{P. Řehák}, Math. Comput. Modelling 34, No. 3--4, 257--269 (2001; Zbl 1038.39002) Full Text: DOI
Řehák, Pavel A Reid type roundabout theorem for second order half-linear difference equations and some of its applications. (English) Zbl 0996.39008 Elaydi, S. (ed.) et al., Communications in difference equations. Proceedings of the 4th international conference on difference equations, Poznan, Poland, August 27-31, 1998. Amsterdam: Gordon and Breach Science Publishers. 327-335 (2000). MSC: 39A11 PDFBibTeX XMLCite \textit{P. Řehák}, in: Communications in difference equations. Proceedings of the 4th international conference on difference equations, Poznan, Poland, August 27--31, 1998. Amsterdam: Gordon and Breach Science Publishers. 327--335 (2000; Zbl 0996.39008)
Řehák, Pavel Hartman-Wintner type lemma, oscillation, and conjugacy criteria for half-linear difference equations. (English) Zbl 0969.39009 J. Math. Anal. Appl. 252, No. 2, 813-827 (2000). Reviewer: Roman Hilscher MSC: 39A11 39A12 PDFBibTeX XMLCite \textit{P. Řehák}, J. Math. Anal. Appl. 252, No. 2, 813--827 (2000; Zbl 0969.39009) Full Text: DOI
Řehák, Pavel Half-linear discrete oscillation theory. (English) Zbl 0967.39005 Electron. J. Qual. Theory Differ. Equ. 2000, Suppl., 14 p. (2000). MSC: 39A11 PDFBibTeX XMLCite \textit{P. Řehák}, Electron. J. Qual. Theory Differ. Equ. 2000, 14 p. (2000; Zbl 0967.39005) Full Text: EMIS
Došlý, Ondřej; Řehák, Pavel Conjugacy criteria for second order linear difference equations. (English) Zbl 0912.39008 Arch. Math., Brno 34, No. 2, 301-310 (1998). Reviewer: R.Hilscher (Brno) MSC: 39A12 39A10 PDFBibTeX XMLCite \textit{O. Došlý} and \textit{P. Řehák}, Arch. Math., Brno 34, No. 2, 301--310 (1998; Zbl 0912.39008) Full Text: EuDML