Khan, Zareen A.; Arora, Pooja Computational approach of dynamic integral inequalities with applications to timescale calculus. (English) Zbl 07291018 Comput. Appl. Math. 39, No. 4, Paper No. 273, 20 p. (2020). MSC: 26D15 26D20 39A12 PDF BibTeX XML Cite \textit{Z. A. Khan} and \textit{P. Arora}, Comput. Appl. Math. 39, No. 4, Paper No. 273, 20 p. (2020; Zbl 07291018) Full Text: DOI
El-Deeb, A. A.; El-Sennary, H. A.; Agarwal, Praveen Some Opial-type inequalities with higher order delta derivatives on time scales. (English) Zbl 1439.26053 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 114, No. 1, Paper No. 29, 14 p. (2020). Reviewer: Pavel Rehak (Brno) MSC: 26E70 26D10 26D15 34A40 PDF BibTeX XML Cite \textit{A. A. El-Deeb} et al., Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 114, No. 1, Paper No. 29, 14 p. (2020; Zbl 1439.26053) Full Text: DOI
Liu, Haidong Some new half-linear integral inequalities on time scales and applications. (English) Zbl 1453.26022 Discrete Dyn. Nat. Soc. 2019, Article ID 9860302, 9 p. (2019). MSC: 26D15 26E70 PDF BibTeX XML Cite \textit{H. Liu}, Discrete Dyn. Nat. Soc. 2019, Article ID 9860302, 9 p. (2019; Zbl 1453.26022) Full Text: DOI
Taousser, Fatima Z.; Defoort, Michael; Djemai, Mohamed; Djouadi, Seddik M.; Tomsovic, Kevin Stability analysis of a class of switched nonlinear systems using the time scale theory. (English) Zbl 1429.93310 Nonlinear Anal., Hybrid Syst. 33, 195-210 (2019). MSC: 93D23 93D50 93C30 93A16 93C70 93C10 PDF BibTeX XML Cite \textit{F. Z. Taousser} et al., Nonlinear Anal., Hybrid Syst. 33, 195--210 (2019; Zbl 1429.93310) Full Text: DOI
El-Deeb, A. A.; Xu, Haiyong; Abdeldaim, A.; Wang, Guotao Some dynamic inequalities on time scales and their applications. (English) Zbl 07048542 Adv. Difference Equ. 2019, Paper No. 130, 19 p. (2019). MSC: 26D10 26D15 26D20 34A12 34A40 PDF BibTeX XML Cite \textit{A. A. El-Deeb} et al., Adv. Difference Equ. 2019, Paper No. 130, 19 p. (2019; Zbl 07048542) Full Text: DOI
El-Deeb, A. A.; Cheung, Wing-Sum A variety of dynamic inequalities on time scales with retardation. (English) Zbl 1438.26122 J. Nonlinear Sci. Appl. 11, No. 10, 1185-1206 (2018). MSC: 26E70 26D10 26D15 PDF BibTeX XML Cite \textit{A. A. El-Deeb} and \textit{W.-S. Cheung}, J. Nonlinear Sci. Appl. 11, No. 10, 1185--1206 (2018; Zbl 1438.26122) Full Text: DOI
Wang, Jiangfeng; Meng, Fanwei; Gu, Juan Estimates on some power nonlinear Volterra-Fredholm type dynamic integral inequalities on time scales. (English) Zbl 1422.34263 Adv. Difference Equ. 2017, Paper No. 257, 16 p. (2017). MSC: 34N05 26D15 45B05 45D05 26E70 PDF BibTeX XML Cite \textit{J. Wang} et al., Adv. Difference Equ. 2017, Paper No. 257, 16 p. (2017; Zbl 1422.34263) Full Text: DOI
Liu, Haidong A class of retarded Volterra-Fredholm type integral inequalities on time scales and their applications. (English) Zbl 1379.26023 J. Inequal. Appl. 2017, Paper No. 293, 15 p. (2017). MSC: 26D15 PDF BibTeX XML Cite \textit{H. Liu}, J. Inequal. Appl. 2017, Paper No. 293, 15 p. (2017; Zbl 1379.26023) Full Text: DOI
Nguyen Thu Ha; Nguyen Huu Du; Le Cong Loi; Do Duc Thuan On the convergence of solutions to dynamic equations on time scales. (English) Zbl 1371.34135 Qual. Theory Dyn. Syst. 15, No. 2, 453-469 (2016). Reviewer: Antonín Slavík (Praha) MSC: 34N05 PDF BibTeX XML Cite \textit{Nguyen Thu Ha} et al., Qual. Theory Dyn. Syst. 15, No. 2, 453--469 (2016; Zbl 1371.34135) Full Text: DOI
Li, Wei-Nian Some delay Gronwall type inequalities on time scales. (English) Zbl 1338.26015 Acta Math. Appl. Sin., Engl. Ser. 31, No. 4, 1103-1114 (2015). MSC: 26D15 26D10 34C11 39A12 PDF BibTeX XML Cite \textit{W.-N. Li}, Acta Math. Appl. Sin., Engl. Ser. 31, No. 4, 1103--1114 (2015; Zbl 1338.26015) Full Text: DOI
Younus, Awais; Asif, Muhammad; Farhad, Khurram On Gronwall type inequalities for interval-valued functions on time scales. (English) Zbl 1336.26048 J. Inequal. Appl. 2015, Paper No. 271, 18 p. (2015). MSC: 26D15 26E70 34N05 PDF BibTeX XML Cite \textit{A. Younus} et al., J. Inequal. Appl. 2015, Paper No. 271, 18 p. (2015; Zbl 1336.26048) Full Text: DOI
Graef, John R.; Hill, Mary Nonoscillation of all solutions of a higher order nonlinear delay dynamic equation on time scales. (English) Zbl 1309.34121 J. Math. Anal. Appl. 423, No. 2, 1693-1703 (2015). Reviewer: Qingkai Kong (DeKalb) MSC: 34K11 34N05 PDF BibTeX XML Cite \textit{J. R. Graef} and \textit{M. Hill}, J. Math. Anal. Appl. 423, No. 2, 1693--1703 (2015; Zbl 1309.34121) Full Text: DOI
Karpuz, Başak Asymptotic stability of the complex dynamic equation \(u^\Delta-z\cdot u+w\cdot u^\sigma=0\). (English) Zbl 1312.34139 J. Math. Anal. Appl. 421, No. 1, 925-937 (2015). Reviewer: Stefan Hilger (Eichstätt) MSC: 34N05 PDF BibTeX XML Cite \textit{B. Karpuz}, J. Math. Anal. Appl. 421, No. 1, 925--937 (2015; Zbl 1312.34139) Full Text: DOI
Gu, Juan; Meng, Fanwei Some new nonlinear Volterra-Fredholm type dynamic integral inequalities on time scales. (English) Zbl 1335.26007 Appl. Math. Comput. 245, 235-242 (2014). MSC: 26D15 26E70 PDF BibTeX XML Cite \textit{J. Gu} and \textit{F. Meng}, Appl. Math. Comput. 245, 235--242 (2014; Zbl 1335.26007) Full Text: DOI
Pachpatte, Deepak B. Estimates of certain iterated dynamic inequalities on time scales. (English) Zbl 1305.26061 Qual. Theory Dyn. Syst. 13, No. 2, 353-362 (2014). MSC: 26E70 34N05 PDF BibTeX XML Cite \textit{D. B. Pachpatte}, Qual. Theory Dyn. Syst. 13, No. 2, 353--362 (2014; Zbl 1305.26061) Full Text: DOI
Pachpatte, Deepak B. On inequality applicable to partial dynamic equations. (English) Zbl 1296.26090 Int. J. Differ. Equ. 2014, Article ID 949860, 4 p. (2014). MSC: 26D15 26E70 34N05 PDF BibTeX XML Cite \textit{D. B. Pachpatte}, Int. J. Differ. Equ. 2014, Article ID 949860, 4 p. (2014; Zbl 1296.26090) Full Text: DOI
Meng, Fanwei; Shao, Jing Some new Volterra-Fredholm type dynamic integral inequalities on time scales. (English) Zbl 1329.45017 Appl. Math. Comput. 223, 444-451 (2013). MSC: 45N05 45D05 45B05 PDF BibTeX XML Cite \textit{F. Meng} and \textit{J. Shao}, Appl. Math. Comput. 223, 444--451 (2013; Zbl 1329.45017) Full Text: DOI
Sun, Yuangong; Hassan, Taher Some nonlinear dynamic integral inequalities on time scales. (English) Zbl 1329.26044 Appl. Math. Comput. 220, 221-225 (2013). MSC: 26D15 26E70 PDF BibTeX XML Cite \textit{Y. Sun} and \textit{T. Hassan}, Appl. Math. Comput. 220, 221--225 (2013; Zbl 1329.26044) Full Text: DOI
Ma, Qing-Hua; Wang, Jun-Wei; Ke, Xiao-Hua; Pečarić, Josip On the boundedness of a class of nonlinear dynamic equations of second order. (English) Zbl 1315.34104 Appl. Math. Lett. 26, No. 11, 1099-1105 (2013). MSC: 34N05 26D15 34C11 PDF BibTeX XML Cite \textit{Q.-H. Ma} et al., Appl. Math. Lett. 26, No. 11, 1099--1105 (2013; Zbl 1315.34104) Full Text: DOI
Pachpatte, Deepak B. Properties of some partial dynamic equations on time scales. (English) Zbl 06349569 Int. J. Partial Differ. Equ. 2013, Article ID 345697, 9 p. (2013). MSC: 26 35 PDF BibTeX XML Cite \textit{D. B. Pachpatte}, Int. J. Partial Differ. Equ. 2013, Article ID 345697, 9 p. (2013; Zbl 06349569) Full Text: DOI
Pachpatte, Deepak B. On some approximate solutions of nonlinear integrodifferential equation on time scales. (English) Zbl 1268.65169 Differ. Equ. Dyn. Syst. 20, No. 4, 441-451 (2012). Reviewer: Pierluigi Maponi (Camerino) MSC: 65R20 45J05 45G10 PDF BibTeX XML Cite \textit{D. B. Pachpatte}, Differ. Equ. Dyn. Syst. 20, No. 4, 441--451 (2012; Zbl 1268.65169) Full Text: DOI
Nguyen Huu Du; Do Duc Thuan; Nguyen Chi Liem Stability radius of implicit dynamic equations with constant coefficients on time scales. (English) Zbl 1236.93119 Syst. Control Lett. 60, No. 8, 596-603 (2011). MSC: 93D09 93C70 93C05 PDF BibTeX XML Cite \textit{Nguyen Huu Du} et al., Syst. Control Lett. 60, No. 8, 596--603 (2011; Zbl 1236.93119) Full Text: DOI
Saker, S. H. Bounds of double integral dynamic inequalities in two independent variables on time scales. (English) Zbl 1238.26033 Discrete Dyn. Nat. Soc. 2011, Article ID 732164, 21 p. (2011). MSC: 26E70 26D20 PDF BibTeX XML Cite \textit{S. H. Saker}, Discrete Dyn. Nat. Soc. 2011, Article ID 732164, 21 p. (2011; Zbl 1238.26033) Full Text: DOI
Adıvar, Murat; Bohner, Elvan Akın Halanay type inequalities on time scales with applications. (English) Zbl 1271.34091 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 18, 7519-7531 (2011). MSC: 34N05 34A40 34D20 PDF BibTeX XML Cite \textit{M. Adıvar} and \textit{E. A. Bohner}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 18, 7519--7531 (2011; Zbl 1271.34091) Full Text: DOI
Ma, Qing-Hua; Pečarić, Josip The bounds on the solutions of certain two-dimensional delay dynamic systems on time scales. (English) Zbl 1219.34118 Comput. Math. Appl. 61, No. 8, 2158-2163 (2011). MSC: 34N05 34K12 PDF BibTeX XML Cite \textit{Q.-H. Ma} and \textit{J. Pečarić}, Comput. Math. Appl. 61, No. 8, 2158--2163 (2011; Zbl 1219.34118) Full Text: DOI
Li, Wei Nian Some integral inequalities useful in the theory of certain partial dynamic equations on time scales. (English) Zbl 1219.26019 Comput. Math. Appl. 61, No. 7, 1754-1759 (2011). MSC: 26D15 26E70 PDF BibTeX XML Cite \textit{W. N. Li}, Comput. Math. Appl. 61, No. 7, 1754--1759 (2011; Zbl 1219.26019) Full Text: DOI
Sikorska-Nowak, Aneta Dynamic equations \(x^{(\Delta m)}(t)=f(t,x(t))\) on time scales. (English) Zbl 1242.34159 Demonstr. Math. 44, No. 2, 317-333 (2011). Reviewer: Stefan Hilger (Eichstätt) MSC: 34N05 34A12 47N20 PDF BibTeX XML Cite \textit{A. Sikorska-Nowak}, Demonstr. Math. 44, No. 2, 317--333 (2011; Zbl 1242.34159) Full Text: DOI
Li, Wei Nian Nonlinear integral inequalities in two independent variables on time scales. (English) Zbl 1213.26028 Adv. Difference Equ. 2011, Article ID 283926, 11 p. (2011). MSC: 26D15 PDF BibTeX XML Cite \textit{W. N. Li}, Adv. Difference Equ. 2011, Article ID 283926, 11 p. (2011; Zbl 1213.26028) Full Text: DOI EuDML
Akın-Bohner, Elvan; Ünal, Mehmet Gronwall-like inequalities on time scales with applications. (English) Zbl 1209.26021 Commun. Math. Anal. 11, No. 2, 23-35 (2011). MSC: 26D15 PDF BibTeX XML Cite \textit{E. Akın-Bohner} and \textit{M. Ünal}, Commun. Math. Anal. 11, No. 2, 23--35 (2011; Zbl 1209.26021) Full Text: Euclid
Sun, Yuangong Some sublinear dynamic integral inequalities on time scales. (English) Zbl 1209.34116 J. Inequal. Appl. 2010, Article ID 983052, 10 p. (2010). Reviewer: Taher Hassan (Mansoura) MSC: 34N05 26D15 PDF BibTeX XML Cite \textit{Y. Sun}, J. Inequal. Appl. 2010, Article ID 983052, 10 p. (2010; Zbl 1209.34116) Full Text: DOI EuDML
Li, Wei Nian Explicit bounds for some special integral inequalities on time scales. (English) Zbl 1204.26029 Result. Math. 58, No. 3-4, 317-328 (2010). MSC: 26D10 26D15 34C11 39A12 PDF BibTeX XML Cite \textit{W. N. Li}, Result. Math. 58, No. 3--4, 317--328 (2010; Zbl 1204.26029) Full Text: DOI
Liu, Ailian; Bohner, Martin Gronwall-OuIang-type integral inequalities on time scales. (English) Zbl 1197.26031 J. Inequal. Appl. 2010, Article ID 275826, 15 p. (2010). MSC: 26D15 PDF BibTeX XML Cite \textit{A. Liu} and \textit{M. Bohner}, J. Inequal. Appl. 2010, Article ID 275826, 15 p. (2010; Zbl 1197.26031) Full Text: DOI EuDML
Sikorska-Nowak, Aneta Integrodifferential equations on time scales with Henstock-Kurzweil-Pettis delta integrals. (English) Zbl 1205.34135 Abstr. Appl. Anal. 2010, Article ID 836347, 17 p. (2010). MSC: 34N05 26A39 34K30 PDF BibTeX XML Cite \textit{A. Sikorska-Nowak}, Abstr. Appl. Anal. 2010, Article ID 836347, 17 p. (2010; Zbl 1205.34135) Full Text: DOI EuDML
Li, Wei Nian Some delay integral inequalities on time scales. (English) Zbl 1189.26046 Comput. Math. Appl. 59, No. 6, 1929-1936 (2010). MSC: 26D15 26E70 34N05 PDF BibTeX XML Cite \textit{W. N. Li}, Comput. Math. Appl. 59, No. 6, 1929--1936 (2010; Zbl 1189.26046) Full Text: DOI
Xu, Run; Meng, Fanwei; Song, Cuihua On some integral inequalities on time scales and their applications. (English) Zbl 1192.37112 J. Inequal. Appl. 2010, Article ID 464976, 13 p. (2010). MSC: 37M10 PDF BibTeX XML Cite \textit{R. Xu} et al., J. Inequal. Appl. 2010, Article ID 464976, 13 p. (2010; Zbl 1192.37112) Full Text: DOI EuDML
Akın-Bohner, Elvan; Raffoul, Youssef N.; Tisdell, Christopher Exponential stability in functional dynamic equations on time scales. (English) Zbl 1194.34173 Commun. Math. Anal. 9, No. 1, 93-108 (2010). MSC: 34N05 34K20 PDF BibTeX XML Cite \textit{E. Akın-Bohner} et al., Commun. Math. Anal. 9, No. 1, 93--108 (2010; Zbl 1194.34173) Full Text: Euclid
Li, Wei Nian; Han, Maoan Bounds for certain nonlinear dynamic inequalities on time scales. (English) Zbl 1193.34184 Discrete Dyn. Nat. Soc. 2009, Article ID 897087, 14 p. (2009). MSC: 34N05 34A40 45N05 PDF BibTeX XML Cite \textit{W. N. Li} and \textit{M. Han}, Discrete Dyn. Nat. Soc. 2009, Article ID 897087, 14 p. (2009; Zbl 1193.34184) Full Text: DOI EuDML
Li, Wei Nian Bounds for certain new integral inequalities on time scales. (English) Zbl 1177.26041 Adv. Difference Equ. 2009, Article ID 484185, 16 p. (2009). MSC: 26D15 26E70 34N05 PDF BibTeX XML Cite \textit{W. N. Li}, Adv. Difference Equ. 2009, Article ID 484185, 16 p. (2009; Zbl 1177.26041) Full Text: DOI EuDML
Li, Wei Nian Some Pachpatte type inequalities on time scales. (English) Zbl 1165.39301 Comput. Math. Appl. 57, No. 2, 275-282 (2009). MSC: 39A10 26D15 34K05 PDF BibTeX XML Cite \textit{W. N. Li}, Comput. Math. Appl. 57, No. 2, 275--282 (2009; Zbl 1165.39301) Full Text: DOI
Bohner, M.; Karpuz, B.; Öcalan, Ö. Iterated oscillation criteria for delay dynamic equations of first order. (English) Zbl 1160.39302 Adv. Difference Equ. 2008, Article ID 458687, 12 p. (2008). MSC: 39A21 39A12 34K11 PDF BibTeX XML Cite \textit{M. Bohner} et al., Adv. Difference Equ. 2008, Article ID 458687, 12 p. (2008; Zbl 1160.39302) Full Text: DOI EuDML
Saker, Samir H.; O’Regan, Donal; Agarwal, Ravi P. Oscillation theorems for second-order nonlinear neutral delay dynamic equations on time scales. (English) Zbl 1153.34040 Acta Math. Sin., Engl. Ser. 24, No. 9, 1409-1432 (2008). MSC: 34K11 34K40 39A10 PDF BibTeX XML Cite \textit{S. H. Saker} et al., Acta Math. Sin., Engl. Ser. 24, No. 9, 1409--1432 (2008; Zbl 1153.34040) Full Text: DOI
Li, Wei Nian; Sheng, Weihong Some nonlinear integral inequalities on time scales. (English) Zbl 1133.26011 J. Inequal. Appl. 2007, Article ID 70465, 15 p. (2007). MSC: 26D10 26D15 PDF BibTeX XML Cite \textit{W. N. Li} and \textit{W. Sheng}, J. Inequal. Appl. 2007, Article ID 70465, 15 p. (2007; Zbl 1133.26011) Full Text: DOI EuDML
Li, Wei Nian; Sheng, Weihong Some nonlinear dynamic inequalities on time scales. (English) Zbl 1149.34308 Proc. Indian Acad. Sci., Math. Sci. 117, No. 4, 545-554 (2007). Reviewer: Narahari Parhi (Bhubaneswar) MSC: 34A40 39A10 PDF BibTeX XML Cite \textit{W. N. Li} and \textit{W. Sheng}, Proc. Indian Acad. Sci., Math. Sci. 117, No. 4, 545--554 (2007; Zbl 1149.34308) Full Text: DOI
Bohner, Martin; Stević, Stevo Asymptotic behavior of second-order dynamic equations. (English) Zbl 1124.39003 Appl. Math. Comput. 188, No. 2, 1503-1512 (2007). MSC: 39A11 39A13 PDF BibTeX XML Cite \textit{M. Bohner} and \textit{S. Stević}, Appl. Math. Comput. 188, No. 2, 1503--1512 (2007; Zbl 1124.39003) Full Text: DOI
Du, Nguyen Huu; Tien, Le Huy On the exponential stability of dynamic equations on time scales. (English) Zbl 1126.34034 J. Math. Anal. Appl. 331, No. 2, 1159-1174 (2007). Reviewer: Stefan Hilger (Eichstätt) MSC: 34D20 39A10 PDF BibTeX XML Cite \textit{N. H. Du} and \textit{L. H. Tien}, J. Math. Anal. Appl. 331, No. 2, 1159--1174 (2007; Zbl 1126.34034) Full Text: DOI
Akin-Bohner, Elvan; Raffoul, Youssef N. Boundedness in functional dynamic equations on time scales. (English) Zbl 1139.39005 Adv. Difference Equ. 2006, Article ID 79689, 18 p. (2006). MSC: 39A11 39A12 34A34 45J05 PDF BibTeX XML Cite \textit{E. Akin-Bohner} and \textit{Y. N. Raffoul}, Adv. Difference Equ. 2006, Article ID 79689, 18 p. (2006; Zbl 1139.39005) Full Text: DOI EuDML
Li, Wei Nian Some new dynamic inequalities on time scales. (English) Zbl 1103.34002 J. Math. Anal. Appl. 319, No. 2, 802-814 (2006). Reviewer: Stefan Hilger (Eichstätt) MSC: 34A40 39A12 PDF BibTeX XML Cite \textit{W. N. Li}, J. Math. Anal. Appl. 319, No. 2, 802--814 (2006; Zbl 1103.34002) Full Text: DOI