Tikare, Sanket; Bohner, Martin; Hazarika, Bipan; Agarwal, Ravi P. Dynamic local and nonlocal initial value problems in Banach spaces. (English) Zbl 1519.34109 Rend. Circ. Mat. Palermo (2) 72, No. 1, 467-482 (2023). MSC: 34N05 34A12 47H10 47H08 34G20 PDF BibTeX XML Cite \textit{S. Tikare} et al., Rend. Circ. Mat. Palermo (2) 72, No. 1, 467--482 (2023; Zbl 1519.34109) Full Text: DOI
Tikare, Sanket Nonlocal initial value problems for first-order dynamic equations on time scales. (English) Zbl 1498.34241 Appl. Math. E-Notes 21, 410-420 (2021). MSC: 34N05 34A12 39A12 PDF BibTeX XML Cite \textit{S. Tikare}, Appl. Math. E-Notes 21, 410--420 (2021; Zbl 1498.34241) Full Text: Link
Tikare, Sanket; Domini dos Santos, Iguer Luis Existence results for solutions to discontinuous dynamic equations on time scales. (English) Zbl 1465.34104 Differ. Equ. Appl. 12, No. 1, 89-100 (2020). MSC: 34N05 34A36 47N20 PDF BibTeX XML Cite \textit{S. Tikare} and \textit{I. L. Domini dos Santos}, Differ. Equ. Appl. 12, No. 1, 89--100 (2020; Zbl 1465.34104) Full Text: DOI
Tikare, Sanket Generalized first order dynamic equations on time scales with \(\Delta\)-Carathéodory functions. (English) Zbl 1427.34121 Differ. Equ. Appl. 11, No. 1, 167-182 (2019). MSC: 34N05 26A39 34A12 34A36 PDF BibTeX XML Cite \textit{S. Tikare}, Differ. Equ. Appl. 11, No. 1, 167--182 (2019; Zbl 1427.34121) Full Text: DOI
Souahi, Abdourazek; Guezane-Lakoud, Assia; Khaldi, Rabah On some existence and uniqueness results for a class of equations of order \(0 < \alpha \leq 1\) on arbitrary time scales. (English) Zbl 1354.34024 Int. J. Differ. Equ. 2016, Article ID 7327319, 8 p. (2016). MSC: 34A08 34N05 PDF BibTeX XML Cite \textit{A. Souahi} et al., Int. J. Differ. Equ. 2016, Article ID 7327319, 8 p. (2016; Zbl 1354.34024) Full Text: DOI
Frigon, Marlène; Lotfipour, Maryam Multiplicity results for systems of first order dynamic inclusions on time scales. (English) Zbl 1422.34257 Adv. Difference Equ. 2015, Paper No. 320, 16 p. (2015). MSC: 34N05 34A60 39A23 PDF BibTeX XML Cite \textit{M. Frigon} and \textit{M. Lotfipour}, Adv. Difference Equ. 2015, Paper No. 320, 16 p. (2015; Zbl 1422.34257) Full Text: DOI
Guan, Wen Positive solutions to PBVPs for nonlinear first-order impulsive dynamic equations on time scales. (English) Zbl 1343.34210 Adv. Difference Equ. 2015, Paper No. 83, 7 p. (2015). MSC: 34N05 39A10 34B15 47N20 PDF BibTeX XML Cite \textit{W. Guan}, Adv. Difference Equ. 2015, Paper No. 83, 7 p. (2015; Zbl 1343.34210) Full Text: DOI
Guan, Wen Positive solutions to nonlinear first-order impulsive dynamic equations on time scales. (English) Zbl 1343.39005 Adv. Difference Equ. 2015, Paper No. 60, 9 p. (2015). MSC: 39A10 34B15 PDF BibTeX XML Cite \textit{W. Guan}, Adv. Difference Equ. 2015, Paper No. 60, 9 p. (2015; Zbl 1343.39005) Full Text: DOI
dos Santos, Iguer Luis Domini Discontinuous dynamic equations on time scales. (English) Zbl 1334.34199 Rend. Circ. Mat. Palermo (2) 64, No. 3, 383-402 (2015). Reviewer: Antonín Slavík (Praha) MSC: 34N05 34A12 34A36 PDF BibTeX XML Cite \textit{I. L. D. dos Santos}, Rend. Circ. Mat. Palermo (2) 64, No. 3, 383--402 (2015; Zbl 1334.34199) Full Text: DOI Link
Domini dos Santos, Iguer Luis On qualitative and quantitative results for solutions to first-order dynamic equations on time scales. (English) Zbl 1327.34151 Bol. Soc. Mat. Mex., III. Ser. 21, No. 2, 205-218 (2015). MSC: 34N05 34A12 47N20 PDF BibTeX XML Cite \textit{I. L. Domini dos Santos}, Bol. Soc. Mat. Mex., III. Ser. 21, No. 2, 205--218 (2015; Zbl 1327.34151) Full Text: DOI Link
Biles, Daniel C.; Federson, Márcia; Pouso, Rodrigo López A survey of recent results for the generalizations of ordinary differential equations. (English) Zbl 1476.34002 Abstr. Appl. Anal. 2014, Article ID 260409, 9 p. (2014). MSC: 34-02 34A06 34N05 34A36 PDF BibTeX XML Cite \textit{D. C. Biles} et al., Abstr. Appl. Anal. 2014, Article ID 260409, 9 p. (2014; Zbl 1476.34002) Full Text: DOI
Zhao, Ya-Hong First-order boundary value problem with nonlinear boundary condition on time scales. (English) Zbl 1234.34058 Discrete Dyn. Nat. Soc. 2011, Article ID 845107, 8 p. (2011). MSC: 34N05 34B15 34A45 PDF BibTeX XML Cite \textit{Y.-H. Zhao}, Discrete Dyn. Nat. Soc. 2011, Article ID 845107, 8 p. (2011; Zbl 1234.34058) Full Text: DOI
Gilbert, Hugues Existence theorems for first-order equations on time scales with \(\Delta \)-Carathéodory functions. (English) Zbl 1210.34133 Adv. Difference Equ. 2010, Article ID 650827, 20 p. (2010). MSC: 34N05 34B15 PDF BibTeX XML Cite \textit{H. Gilbert}, Adv. Difference Equ. 2010, Article ID 650827, 20 p. (2010; Zbl 1210.34133) Full Text: DOI EuDML
Zhao, Ya-Hong; Sun, Jian-Ping Monotone iterative technique for first-order nonlinear periodic boundary value problems on time scales. (English) Zbl 1207.34080 Adv. Difference Equ. 2010, Article ID 620459, 10 p. (2010). MSC: 34K10 34N05 34K07 PDF BibTeX XML Cite \textit{Y.-H. Zhao} and \textit{J.-P. Sun}, Adv. Difference Equ. 2010, Article ID 620459, 10 p. (2010; Zbl 1207.34080) Full Text: DOI EuDML
Zhang, Jimin; Fan, Meng; Zhu, Huaiping Existence and roughness of exponential dichotomies of linear dynamic equations on time scales. (English) Zbl 1193.34186 Comput. Math. Appl. 59, No. 8, 2658-2675 (2010). MSC: 34N05 34C25 PDF BibTeX XML Cite \textit{J. Zhang} et al., Comput. Math. Appl. 59, No. 8, 2658--2675 (2010; Zbl 1193.34186) Full Text: DOI
Wang, Da-Bin; Sun, Jian-Ping; Li, Xiao-Jun Positive solutions for system of first-order dynamic equations. (English) Zbl 1197.34181 Discrete Dyn. Nat. Soc. 2010, Article ID 371285, 13 p. (2010). MSC: 34N05 34B18 47N20 PDF BibTeX XML Cite \textit{D.-B. Wang} et al., Discrete Dyn. Nat. Soc. 2010, Article ID 371285, 13 p. (2010; Zbl 1197.34181) Full Text: DOI EuDML
Jankowski, Tadeusz On dynamic equations with deviating arguments. (English) Zbl 1361.34101 Appl. Math. Comput. 208, No. 2, 423-426 (2009). MSC: 34N05 34K10 34K07 PDF BibTeX XML Cite \textit{T. Jankowski}, Appl. Math. Comput. 208, No. 2, 423--426 (2009; Zbl 1361.34101) Full Text: DOI
Wang, Zongyi; Weng, Peixuan Existence of solutions for first order PBVPs with impulses on time scales. (English) Zbl 1165.34328 Comput. Math. Appl. 56, No. 8, 2010-2018 (2008). MSC: 34B37 39A10 PDF BibTeX XML Cite \textit{Z. Wang} and \textit{P. Weng}, Comput. Math. Appl. 56, No. 8, 2010--2018 (2008; Zbl 1165.34328) Full Text: DOI
Wang, Da-Bin Positive solutions for nonlinear first-order periodic boundary value problems of impulsive dynamic equations on time scales. (English) Zbl 1155.34313 Comput. Math. Appl. 56, No. 6, 1496-1504 (2008). MSC: 34B18 34C25 39A10 PDF BibTeX XML Cite \textit{D.-B. Wang}, Comput. Math. Appl. 56, No. 6, 1496--1504 (2008; Zbl 1155.34313) Full Text: DOI
Tisdell, Christopher C.; Zaidi, Atiya Basic qualitative and quantitative results for solutions to nonlinear dynamic equations on time scales with an application to economic modelling. (English) Zbl 1151.34005 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 68, No. 11, 3504-3524 (2008). MSC: 34A12 39A10 91B62 PDF BibTeX XML Cite \textit{C. C. Tisdell} and \textit{A. Zaidi}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 68, No. 11, 3504--3524 (2008; Zbl 1151.34005) Full Text: DOI
Sun, Jian-Ping; Li, Wan-Tong Existence and multiplicity of positive solutions to nonlinear first-order PBVPs on time scales. (English) Zbl 1134.34016 Comput. Math. Appl. 54, No. 6, 861-871 (2007). MSC: 34B18 34B15 39A10 PDF BibTeX XML Cite \textit{J.-P. Sun} and \textit{W.-T. Li}, Comput. Math. Appl. 54, No. 6, 861--871 (2007; Zbl 1134.34016) Full Text: DOI
Sun, Jian-Ping; Li, Wan-Tong Existence of solutions to nonlinear first-order PBVPs on time scales. (English) Zbl 1120.34314 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 67, No. 3, 883-888 (2007). MSC: 34B15 39A10 PDF BibTeX XML Cite \textit{J.-P. Sun} and \textit{W.-T. Li}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 67, No. 3, 883--888 (2007; Zbl 1120.34314) Full Text: DOI