Cabada, Alberto; Jebelean, Petru; Şerban, Călin Dirichlet systems with discrete relativistic operator. (English) Zbl 07815321 Bull. Lond. Math. Soc. 56, No. 3, 1149-1168 (2024). MSC: 39A27 39A12 39A70 PDFBibTeX XMLCite \textit{A. Cabada} et al., Bull. Lond. Math. Soc. 56, No. 3, 1149--1168 (2024; Zbl 07815321) Full Text: DOI
Cabada, Alberto; Dimitrov, Nikolay D.; Jonnalagadda, Jagan Mohan Green’s functions and existence of solutions of nonlinear fractional implicit difference equations with Dirichlet boundary conditions. (English) Zbl 07797535 Opusc. Math. 44, No. 2, 167-195 (2024). MSC: 39A27 39A12 39A13 26A33 PDFBibTeX XMLCite \textit{A. Cabada} et al., Opusc. Math. 44, No. 2, 167--195 (2024; Zbl 07797535) Full Text: DOI arXiv
Cabada, Alberto; Dimitrov, Nikolay D.; Jonnalagadda, Jagan Mohan Green’s functions for fractional difference equations with Dirichlet boundary conditions. (English) Zbl 1498.39006 Chaos Solitons Fractals 153, Part 1, Article ID 111455, 14 p. (2021). MSC: 39A13 39A23 PDFBibTeX XMLCite \textit{A. Cabada} et al., Chaos Solitons Fractals 153, Part 1, Article ID 111455, 14 p. (2021; Zbl 1498.39006) Full Text: DOI
Cabada, Alberto; Dimitrov, Nikolay Existence of solutions of \(n\)th-order nonlinear difference equations with general boundary conditions. (English) Zbl 1499.39054 Acta Math. Sci., Ser. B, Engl. Ed. 40, No. 1, 226-236 (2020). MSC: 39A27 PDFBibTeX XMLCite \textit{A. Cabada} and \textit{N. Dimitrov}, Acta Math. Sci., Ser. B, Engl. Ed. 40, No. 1, 226--236 (2020; Zbl 1499.39054) Full Text: DOI
Cabada, Alberto; Dimitrov, Nikolay Nontrivial solutions of non-autonomous Dirichlet fractional discrete problems. (English) Zbl 1488.39032 Fract. Calc. Appl. Anal. 23, No. 4, 980-995 (2020). MSC: 39A27 39A13 PDFBibTeX XMLCite \textit{A. Cabada} and \textit{N. Dimitrov}, Fract. Calc. Appl. Anal. 23, No. 4, 980--995 (2020; Zbl 1488.39032) Full Text: DOI
Cabada, Alberto; Dimitrov, Nikolay D. Nontrivial solutions of inverse discrete problems with sign-changing nonlinearities. (English) Zbl 1485.39002 Adv. Difference Equ. 2019, Paper No. 450, 16 p. (2019). MSC: 39A10 39A06 39A70 PDFBibTeX XMLCite \textit{A. Cabada} and \textit{N. D. Dimitrov}, Adv. Difference Equ. 2019, Paper No. 450, 16 p. (2019; Zbl 1485.39002) Full Text: DOI
Cabada, Alberto; Dimitrov, Nikolay D. Positive homoclinic solutions of \(n\)-th order difference equations with sign-changing Green’s function. (English) Zbl 1395.39001 Math. Methods Appl. Sci. 41, No. 12, 4763-4775 (2018). MSC: 39A10 39A06 34B27 34C37 34B18 PDFBibTeX XMLCite \textit{A. Cabada} and \textit{N. D. Dimitrov}, Math. Methods Appl. Sci. 41, No. 12, 4763--4775 (2018; Zbl 1395.39001) Full Text: DOI
Cabada, Alberto; Dimitrov, Nikolay D. Existence of solutions of nonlocal perturbations of Dirichlet discrete nonlinear problems. (English) Zbl 1399.39011 Acta Math. Sci., Ser. B, Engl. Ed. 37, No. 4, 911-926 (2017). MSC: 39A14 39A22 47H10 PDFBibTeX XMLCite \textit{A. Cabada} and \textit{N. D. Dimitrov}, Acta Math. Sci., Ser. B, Engl. Ed. 37, No. 4, 911--926 (2017; Zbl 1399.39011) Full Text: DOI
Cabada, Alberto; Iannizzotto, Antonio Existence of homoclinic constant sign solutions for a difference equation on the integers. (English) Zbl 1334.39011 Appl. Math. Comput. 224, 216-223 (2013). MSC: 39A12 PDFBibTeX XMLCite \textit{A. Cabada} and \textit{A. Iannizzotto}, Appl. Math. Comput. 224, 216--223 (2013; Zbl 1334.39011) Full Text: DOI
Cabada, Alberto; Souroujon, Diko; Tersian, Stepan Heteroclinic solutions of a second-order difference equation related to the Fisher-Kolmogorov’s equation. (English) Zbl 1245.39003 Appl. Math. Comput. 218, No. 18, 9442-9450 (2012). MSC: 39A10 PDFBibTeX XMLCite \textit{A. Cabada} et al., Appl. Math. Comput. 218, No. 18, 9442--9450 (2012; Zbl 1245.39003) Full Text: DOI
Cabada, Alberto; Iannizzotto, Antonio; Tersian, Stepan Existence of solutions of discrete equations via critical point theory. (English) Zbl 1242.39003 Liz, Eduardo (ed.) et al., Proceedings of the workshop on future directions in difference equations, Vigo, Spain, June 13–17, 2011. Vigo: Servizo de Publicacións da Universidade de Vigo (ISBN 978-84-8158-541-4/pbk). Colección Congresos 69, 61-75 (2011). MSC: 39A10 PDFBibTeX XMLCite \textit{A. Cabada} et al., in: Proceedings of the workshop on future directions in difference equations, Vigo, Spain, June 13--17, 2011. Vigo: Servizo de Publicacións da Universidade de Vigo. 61--75 (2011; Zbl 1242.39003)
Cabada, A.; Ferreiro, J. B. Existence of positive solutions for \(n\)th-order periodic difference equations. (English) Zbl 1226.39005 J. Difference Equ. Appl. 17, No. 6, 935-954 (2011). Reviewer: Oleg Anashkin (Simferopol) MSC: 39A22 39A10 39A23 PDFBibTeX XMLCite \textit{A. Cabada} and \textit{J. B. Ferreiro}, J. Difference Equ. Appl. 17, No. 6, 935--954 (2011; Zbl 1226.39005) Full Text: DOI
Cabada, Alberto; Tersian, Stepan Existence of heteroclinic solutions for discrete \(p\)-Laplacian problems with a parameter. (English) Zbl 1235.39002 Nonlinear Anal., Real World Appl. 12, No. 4, 2429-2434 (2011). Reviewer: Khanlar R. Mamedov (Artvin) MSC: 39A12 35J05 39A70 35J15 PDFBibTeX XMLCite \textit{A. Cabada} and \textit{S. Tersian}, Nonlinear Anal., Real World Appl. 12, No. 4, 2429--2434 (2011; Zbl 1235.39002) Full Text: DOI
Cabada, Alberto; Li, Chengyue; Tersian, Stepan On homoclinic solutions of a semilinear \(p\)-Laplacian difference equation with periodic coefficients. (English) Zbl 1207.39004 Adv. Difference Equ. 2010, Article ID 195376, 17 p. (2010). MSC: 39A12 37C29 PDFBibTeX XMLCite \textit{A. Cabada} et al., Adv. Difference Equ. 2010, Article ID 195376, 17 p. (2010; Zbl 1207.39004) Full Text: DOI EuDML
Cabada, Alberto; Dimitrov, Nikolay D. Multiplicity results for nonlinear periodic fourth order difference equations with parameter dependence and singularities. (English) Zbl 1211.39009 J. Math. Anal. Appl. 371, No. 2, 518-533 (2010). Reviewer: Leonid A. Gutnik (Moskva) MSC: 39A23 39A10 PDFBibTeX XMLCite \textit{A. Cabada} and \textit{N. D. Dimitrov}, J. Math. Anal. Appl. 371, No. 2, 518--533 (2010; Zbl 1211.39009) Full Text: DOI
Cabada, Alberto; Cid, José Ángel Solvability of some \(\Phi\)-Laplacian singular difference equations defined on the integers. (English) Zbl 1206.39003 Arab. J. Sci. Eng. (AJSE), Math. 1, No. 1, 75-81 (2009). MSC: 39A10 39A12 34B15 PDFBibTeX XMLCite \textit{A. Cabada} and \textit{J. Á. Cid}, Arab. J. Sci. Eng. (AJSE), Math. 34, No. 1D, 75--81 (2009; Zbl 1206.39003) Full Text: Link
Cabada, Alberto; Iannizzotto, Antonio; Tersian, Stepan Multiple solutions for discrete boundary value problems. (English) Zbl 1169.39008 J. Math. Anal. Appl. 356, No. 2, 418-428 (2009). Reviewer: Fozi Dannan (Damascus) MSC: 39A12 34B15 39A10 PDFBibTeX XMLCite \textit{A. Cabada} et al., J. Math. Anal. Appl. 356, No. 2, 418--428 (2009; Zbl 1169.39008) Full Text: DOI
Cabada, Alberto The method of lower and upper solutions for periodic and anti-periodic difference equations. (English) Zbl 1171.39301 ETNA, Electron. Trans. Numer. Anal. 27, 13-25 (2007). MSC: 39A10 PDFBibTeX XMLCite \textit{A. Cabada}, ETNA, Electron. Trans. Numer. Anal. 27, 13--25 (2007; Zbl 1171.39301) Full Text: EuDML EMIS
Cabada, Alberto Stability and instability of periodic solutions of first order non autonomous difference equations. (English) Zbl 1136.39003 Ruffing, A. (ed.) et al., Communications of the Laufen colloquium on science, Laufen, Austria, April 1–5, 2007. Aachen: Shaker (ISBN 978-3-8322-6739-1/pbk). Berichte aus der Mathematik, 3.1-3.16 (2007). MSC: 39A11 39A10 PDFBibTeX XMLCite \textit{A. Cabada}, in: Communications of the Laufen colloquium on science, Laufen, Austria, April 1--5, 2007. Aachen: Shaker. 3.1--3.16 (2007; Zbl 1136.39003)
Cabada, Alberto Discontinuous functional \(\phi\)-Laplacian boundary value problems on time scales. (English) Zbl 1140.39008 Int. J. Difference Equ. 2, No. 1, 69-78 (2007). Reviewer: Bilender P. Allahverdiev (Isparta) MSC: 39A12 39A10 34B15 PDFBibTeX XMLCite \textit{A. Cabada}, Int. J. Difference Equ. 2, No. 1, 69--78 (2007; Zbl 1140.39008)
Cabada, Alberto Existence results for \(\varphi \)-Laplacian boundary value problems on time scales. (English) Zbl 1139.39025 Adv. Difference Equ. 2006, Article ID 21819, 11 p. (2006). MSC: 39A12 35J05 PDFBibTeX XMLCite \textit{A. Cabada}, Adv. Difference Equ. 2006, Article ID 21819, 11 p. (2006; Zbl 1139.39025) Full Text: DOI EuDML
Anderson, Douglas R.; Cabada, Alberto Third-order right-focal multi-point problems on time scales. (English) Zbl 1123.34014 J. Difference Equ. Appl. 12, No. 9, 919-935 (2006). Reviewer: Carmen Simerská (Praha) MSC: 34B18 34B10 39A10 34B27 PDFBibTeX XMLCite \textit{D. R. Anderson} and \textit{A. Cabada}, J. Difference Equ. Appl. 12, No. 9, 919--935 (2006; Zbl 1123.34014) Full Text: DOI
Atici, Ferhan M.; Cabada, Alberto; Ferreiro, Juan B. First order difference equations with maxima and nonlinear functional boundary value conditions. (English) Zbl 1107.39001 J. Difference Equ. Appl. 12, No. 6, 565-576 (2006). Reviewer: Sui Sun Cheng (Hsinchu) MSC: 39A10 39A12 PDFBibTeX XMLCite \textit{F. M. Atici} et al., J. Difference Equ. Appl. 12, No. 6, 565--576 (2006; Zbl 1107.39001) Full Text: DOI
Cabada, Alberto; Vivero, Dolores R. Expression of the Lebesgue \(\Delta\)-integral on time scales as a usual Lebesgue integral; application to the calculus of \(\Delta\)-antiderivatives. (English) Zbl 1092.39017 Math. Comput. Modelling 43, No. 1-2, 194-207 (2006). Reviewer: Dingyong Bai (Guangzhou) MSC: 39A12 26A42 28A12 26A36 PDFBibTeX XMLCite \textit{A. Cabada} and \textit{D. R. Vivero}, Math. Comput. Modelling 43, No. 1--2, 194--207 (2006; Zbl 1092.39017) Full Text: DOI
Cabada, Alberto; Otero-Espinar, Victoria; Rodríguez-Vivero, Dolores Stability of periodic solutions of first-order difference equations lying between lower and upper solutions. (English) Zbl 1111.39004 Adv. Difference Equ. 2005, No. 3, 333-343 (2005). Reviewer: Shangjiang Guo (Hunan) MSC: 39A11 PDFBibTeX XMLCite \textit{A. Cabada} et al., Adv. Difference Equ. 2005, No. 3, 333--343 (2005; Zbl 1111.39004) Full Text: DOI EuDML
Cabada, Alberto; Vivero, Dolores R. Criterions for absolute continuity on time scales. (English) Zbl 1081.39011 J. Difference Equ. Appl. 11, No. 11, 1013-1028 (2005). Reviewer: Adina Luminiţa Sasu (Timişoara) MSC: 39A12 39A10 26A15 PDFBibTeX XMLCite \textit{A. Cabada} and \textit{D. R. Vivero}, J. Difference Equ. Appl. 11, No. 11, 1013--1028 (2005; Zbl 1081.39011) Full Text: DOI
Cabada, Alberto; Otero-Espinar, Victoria; Vivero, Dolores R. Optimal conditions to ensure the stability of periodic solutions of first order difference equations lying between lower and upper solutions. (English) Zbl 1066.39004 J. Comput. Appl. Math. 176, No. 1, 45-57 (2005). Reviewer: Marat Akhmet (Ankara) MSC: 39A11 PDFBibTeX XMLCite \textit{A. Cabada} et al., J. Comput. Appl. Math. 176, No. 1, 45--57 (2005; Zbl 1066.39004) Full Text: DOI
Atici, F. M.; Cabada, A.; Chyan, C. J.; Kaymakçalan, B. Nagumo type existence results for second-order nonlinear dynamic BVPs. (English) Zbl 1072.34015 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 60, No. 2, 209-220 (2005). Reviewer: Roman Hilscher (Brno) MSC: 34B15 39A12 PDFBibTeX XMLCite \textit{F. M. Atici} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 60, No. 2, 209--220 (2005; Zbl 1072.34015) Full Text: DOI
Cabada, Alberto; Vivero, Dolores R. Existence and uniqueness of solutions of higher-order antiperiodic dynamic equations. (English) Zbl 1083.39017 Adv. Difference Equ. 2004, No. 4, 291-310 (2004). Reviewer: Stefan Hilger (Eichstätt) MSC: 39A12 34B15 39A10 39A13 PDFBibTeX XMLCite \textit{A. Cabada} and \textit{D. R. Vivero}, Adv. Difference Equ. 2004, No. 4, 291--310 (2004; Zbl 1083.39017) Full Text: DOI EuDML
Agarwal, Ravi P.; Cabada, Alberto; Otero-Espinar, Victoria; Dontha, S. Existence and uniqueness of solutions for anti-periodic difference equations. (English) Zbl 1087.39001 Arch. Inequal. Appl. 2, No. 4, 397-411 (2004). Reviewer: Samir H. Saker (Calgary) MSC: 39A10 39A12 34B15 PDFBibTeX XMLCite \textit{R. P. Agarwal} et al., Arch. Inequal. Appl. 2, No. 4, 397--411 (2004; Zbl 1087.39001)
Cabada, Alberto; Otero-Espinar, Victoria Difference \(\phi\)-Laplacian periodic boundary value problems: Existence and localization of solutions. (English) Zbl 1065.39024 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). 367-374 (2004). MSC: 39A12 35J65 PDFBibTeX XMLCite \textit{A. Cabada} and \textit{V. Otero-Espinar}, 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. 367--374 (2004; Zbl 1065.39024)
Cabada, Alberto Extremal solutions and Green’s functions of higher order periodic boundary value problems in time scales. (English) Zbl 1056.39018 J. Math. Anal. Appl. 290, No. 1, 35-54 (2004). Reviewer: Patricia J. Y. Wong (Singapore) MSC: 39A12 34B27 93C70 34B15 PDFBibTeX XMLCite \textit{A. Cabada}, J. Math. Anal. Appl. 290, No. 1, 35--54 (2004; Zbl 1056.39018) Full Text: DOI
Atici, F. Merdivenci; Cabada, A.; Otero-Espinar, V. Criteria for existence and nonexistence of positive solutions to a discrete periodic boundary value problem. (English) Zbl 1056.39016 J. Difference Equ. Appl. 9, No. 9, 765-775 (2003). Reviewer: Marat Akhmet (Ankara) MSC: 39A12 39A10 39A11 PDFBibTeX XMLCite \textit{F. M. Atici} et al., J. Difference Equ. Appl. 9, No. 9, 765--775 (2003; Zbl 1056.39016) Full Text: DOI
Atici, F. M.; Cabada, A. Existence and uniqueness results for discrete second-order periodic boundary value problems. (English) Zbl 1057.39008 Comput. Math. Appl. 45, No. 6-9, 1417-1427 (2003). Reviewer: Stefan Hilger (Eichstätt) MSC: 39A12 34B15 39A11 PDFBibTeX XMLCite \textit{F. M. Atici} and \textit{A. Cabada}, Comput. Math. Appl. 45, No. 6--9, 1417--1427 (2003; Zbl 1057.39008) Full Text: DOI
Cabada, A.; Otero-Espinar, V. Fixed sign solutions of second-order difference equations with Neumann boundary conditions. (English) Zbl 1055.39001 Comput. Math. Appl. 45, No. 6-9, 1125-1136 (2003). Reviewer: Lothar Berg (Rostock) MSC: 39A10 PDFBibTeX XMLCite \textit{A. Cabada} and \textit{V. Otero-Espinar}, Comput. Math. Appl. 45, No. 6--9, 1125--1136 (2003; Zbl 1055.39001) Full Text: DOI
Agarwal, Ravi P.; Cabada, Alberto; Otero-Espinar, Victoria Existence and uniqueness results for \(n\)-th order nonlinear difference equations in presence of lower and upper solutions. (English) Zbl 1049.39001 Arch. Inequal. Appl. 1, No. 3-4, 421-431 (2003). Reviewer: Alexei Yu. Karlovich (Braga) MSC: 39A10 39A70 PDFBibTeX XMLCite \textit{R. P. Agarwal} et al., Arch. Inequal. Appl. 1, No. 3--4, 421--431 (2003; Zbl 1049.39001)
Atici, F. Merdivenci; Cabada, Alberto; Ferreiro, Juan B. Existence and comparison results for first order periodic implicit difference equations with maxima. (English) Zbl 1005.39012 J. Difference Equ. Appl. 8, No. 4, 357-369 (2002). Reviewer: Dobiesław Bobrowski (Poznań) MSC: 39A11 PDFBibTeX XMLCite \textit{F. M. Atici} et al., J. Difference Equ. Appl. 8, No. 4, 357--369 (2002; Zbl 1005.39012)
Cabada, Alberto; Otero-Espinar, Victoria Existence and comparison results for difference \(\phi\)-Laplacian boundary value problems with lower and upper solutions in reverse order. (English) Zbl 0995.39003 J. Math. Anal. Appl. 267, No. 2, 501-521 (2002). Reviewer: Lothar Berg (Rostock) MSC: 39A10 PDFBibTeX XMLCite \textit{A. Cabada} and \textit{V. Otero-Espinar}, J. Math. Anal. Appl. 267, No. 2, 501--521 (2002; Zbl 0995.39003) Full Text: DOI
Cabada, Alberto; Otero-Espinar, Victoria Comparison results for \(n\)-th order periodic difference equations. (English) Zbl 1042.39505 Nonlinear Anal., Theory Methods Appl. 47, No. 4, 2395-2406 (2001). MSC: 39A10 PDFBibTeX XMLCite \textit{A. Cabada} and \textit{V. Otero-Espinar}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 47, No. 4, 2395--2406 (2001; Zbl 1042.39505) Full Text: DOI
Cabada, A. Extremal solutions for the difference \(\phi\)-Laplacian problem with nonlinear functional boundary conditions. (English) Zbl 1001.39006 Comput. Math. Appl. 42, No. 3-5, 593-601 (2001). Reviewer: Dobiesław Bobrowski (Poznań) MSC: 39A10 PDFBibTeX XMLCite \textit{A. Cabada}, Comput. Math. Appl. 42, No. 3--5, 593--601 (2001; Zbl 1001.39006) Full Text: DOI
Cabada, Alberto; Otero-Espinar, Victoria Optimal existence results for \(n\)th order periodic boundary value difference equations. (English) Zbl 0962.39006 J. Math. Anal. Appl. 247, No. 1, 67-86 (2000). Reviewer: Dobiesław Bobrowski (Poznań) MSC: 39A11 39A70 PDFBibTeX XMLCite \textit{A. Cabada} and \textit{V. Otero-Espinar}, J. Math. Anal. Appl. 247, No. 1, 67--86 (2000; Zbl 0962.39006) Full Text: DOI
Cabada, A.; Otero-Espinar, V.; Pouso, R. L. Existence and approximation of solutions for first-order discontinuous difference equations with nonlinear global conditions in the presence of lower and upper solutions. (English) Zbl 0972.39002 Comput. Math. Appl. 39, No. 1-2, 21-33 (2000). Reviewer: Lothar Berg (Rostock) MSC: 39A10 PDFBibTeX XMLCite \textit{A. Cabada} et al., Comput. Math. Appl. 39, No. 1--2, 21--33 (2000; Zbl 0972.39002) Full Text: DOI