Shah, Syed Omar On the Bielecki-Hyers-Ulam stability of non-linear impulsive fractional Hammerstein and mixed integro-dynamic systems on time scales. (English) Zbl 07859968 Qual. Theory Dyn. Syst. 23, No. 4, Paper No. 193, 24 p. (2024). Reviewer: Ahmed M. A. El-Sayed (Alexandria) MSC: 45J05 26A33 34N05 26E70 × Cite Format Result Cite Review PDF Full Text: DOI
Pervaiz, Bakhtawar; Zada, Akbar; Popa, Ioan-Lucian; Ben Moussa, Sana; El-Gawad, Hala H. Abd Analysis of fractional integro causal evolution impulsive systems on time scales. (English) Zbl 07793768 Math. Methods Appl. Sci. 46, No. 14, 15226-15243 (2023). MSC: 45-XX 34N05 34G20 45J05 × Cite Format Result Cite Review PDF Full Text: DOI
Pötzsche, Christian Numerical dynamics of integrodifference equations. (English) Zbl 07707127 Numer. Math. 154, No. 1-2, 249-281 (2023). MSC: 65P40 45G15 65R20 37L45 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Pötzsche, Christian Numerical dynamics of integrodifference equations: hierarchies of invariant bundles in \(L^p (\Omega)\). (English) Zbl 1515.65319 Numer. Funct. Anal. Optim. 44, No. 7, 653-686 (2023). MSC: 65P99 37J06 37L25 45M10 47H30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Nockowska-Rosiak, Magdalena; Pötzsche, Christian Monotonicity and discretization of Hammerstein integrodifference equations. (English) Zbl 1521.45009 J. Comput. Dyn. 10, No. 1, 223-247 (2023). Reviewer: Josef Kofroň (Praha) MSC: 45P05 45L05 45M05 45M10 47H07 47G10 39A99 65R20 × Cite Format Result Cite Review PDF Full Text: DOI
Nockowska-Rosiak, Magdalena; Pötzsche, Christian Positivity and discretization of Fredholm integral operators. (English) Zbl 1512.65309 J. Math. Anal. Appl. 524, No. 1, Article ID 127137, 29 p. (2023). MSC: 65R20 45B05 45P05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pötzsche, Christian Urysohn and Hammerstein operators on Hölder spaces. (English) Zbl 1511.47063 Analysis, München 42, No. 4, 205-240 (2022). MSC: 47H30 45P05 45G15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Pötzsche, Christian Uniform convergence of Nyström discretization on Hölder spaces. (English) Zbl 1498.45015 J. Integral Equations Appl. 34, No. 2, 247-255 (2022). Reviewer: Eduardo Cuesta (Valladolid) MSC: 45L05 45P05 45B05 47G10 65R20 × Cite Format Result Cite Review PDF Full Text: DOI
Shah, Syed Omar; Tunç, Cemil; Rizwan, Rizwan; Zada, Akbar; Khan, Qayyum Ullah; Ullah, Iftikhar; Ullah, Ibrar Bielecki-Ulam’s types stability analysis of Hammerstein and mixed integro-dynamic systems of non-linear form with instantaneous impulses on time scales. (English) Zbl 1498.45016 Qual. Theory Dyn. Syst. 21, No. 4, Paper No. 107, 21 p. (2022). Reviewer: Narahari Parhi (Bhubaneswar) MSC: 45M10 45J05 26E70 34N05 47N20 × Cite Format Result Cite Review PDF Full Text: DOI
Shah, Syed Omar; Zada, Akbar Hyers-Ulam stability of non-linear Volterra integro-delay dynamic system with fractional integrable impulses on time scales. (English) Zbl 1487.34172 Iran. J. Math. Sci. Inform. 17, No. 1, 85-97 (2022). MSC: 34N05 34G20 34A37 35B35 45J05 × Cite Format Result Cite Review PDF Full Text: Link
Huynh, Huy; Kloeden, Peter E.; Pötzsche, Christian Forward and pullback dynamics of nonautonomous integrodifference equations: basic constructions. (English) Zbl 1495.37025 J. Dyn. Differ. Equations 34, No. 1, 671-699 (2022). MSC: 37C70 37C60 45G15 92D40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Nockowska-Rosiak, Magdalena; Pötzsche, Christian Monotonicity and discretization of Urysohn integral operators. (English) Zbl 07428138 Appl. Math. Comput. 414, Article ID 126686, 19 p. (2022). Reviewer: K. C. Sivakumar (Chennai) MSC: 47H07 47H30 45P05 45L05 37C65 × Cite Format Result Cite Review PDF Full Text: DOI
Kalkan, Abdullah Global attractivity of delay difference equations in Banach spaces via fixed-point theory. (English) Zbl 1493.45006 Turk. J. Math. 45, No. 4, 1738-1756 (2021). MSC: 45G10 34K30 39B52 47H10 92D25 × Cite Format Result Cite Review PDF Full Text: DOI
Xu, Jiafa; Pervaiz, Bakhtawar; Zada, Akbar; Shah, Syed Omar Stability analysis of causal integral evolution impulsive systems on time scales. (English) Zbl 1513.34312 Acta Math. Sci., Ser. B, Engl. Ed. 41, No. 3, 781-800 (2021). MSC: 34K42 45J05 26E70 34K30 34K27 34K45 34N05 × Cite Format Result Cite Review PDF Full Text: DOI
Aarset, Christian; Pötzsche, Christian Bifurcations in periodic integrodifference equations in \(C(\Omega)\). I: Analytical results and applications. (English) Zbl 1473.37063 Discrete Contin. Dyn. Syst., Ser. B 26, No. 1, 1-60 (2021). Reviewer: Eduardo Cuesta (Valladolid) MSC: 37G15 45G15 39A30 39A28 39A23 92D25 92D40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Shah, Syed Omar; Zada, Akbar The Ulam stability of non-linear Volterra integro-dynamic equations on time scales. (English) Zbl 1442.45008 Note Mat. 39, No. 2, 57-70 (2019). MSC: 45J05 45M10 26E70 × Cite Format Result Cite Review PDF Full Text: DOI
Shah, Syed Omar; Zada, Akbar Existence, uniqueness and stability of solution to mixed integral dynamic systems with instantaneous and noninstantaneous impulses on time scales. (English) Zbl 1428.34141 Appl. Math. Comput. 359, 202-213 (2019). MSC: 34N05 34K05 39B82 45J05 × Cite Format Result Cite Review PDF Full Text: DOI
Pötzsche, Christian Numerical dynamics of integrodifference equations: basics and discretization errors in a \(C^0\)-setting. (English) Zbl 1429.65322 Appl. Math. Comput. 354, 422-443 (2019). MSC: 65R20 37C60 45J05 45E05 92D25 × Cite Format Result Cite Review PDF Full Text: DOI
Poetzsche, Christian Numerical dynamics of integrodifference equations: global attractivity in a \(C^0\)-setting. (English) Zbl 1429.45004 SIAM J. Numer. Anal. 57, No. 5, 2121-2141 (2019). Reviewer: Alexander N. Tynda (Penza) MSC: 45J99 65R20 45G15 65P40 37C55 × Cite Format Result Cite Review PDF Full Text: DOI
Zada, Akbar; Shah, Syed Omar; Li, Yongjin Hyers-Ulam stability of nonlinear impulsive Volterra integro-delay dynamic system on time scales. (English) Zbl 1412.34247 J. Nonlinear Sci. Appl. 10, No. 11, 5701-5711 (2017). MSC: 34N05 34A37 45M10 45J05 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Chao; Agarwal, Ravi P. Exponential dichotomies of impulsive dynamic systems with applications on time scales. (English) Zbl 1336.34136 Math. Methods Appl. Sci. 38, No. 17, 3879-3900 (2015). MSC: 34N05 34C27 34D09 34A37 34A30 45J05 × Cite Format Result Cite Review PDF Full Text: DOI
Bouin, Emeric A Hamilton-Jacobi approach for front propagation in kinetic equations. (English) Zbl 1329.35317 Kinet. Relat. Models 8, No. 2, 255-280 (2015). MSC: 35Q92 45K05 35C07 35F21 35P25 92D25 35D40 35B50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Lorenz, Thomas; Surulescu, Christina On a class of multiscale cancer cell migration models: well-posedness in less regular function spaces. (English) Zbl 1300.92016 Math. Models Methods Appl. Sci. 24, No. 12, 2383-2436 (2014). MSC: 92C17 92C50 35Q82 45K05 × Cite Format Result Cite Review PDF Full Text: DOI