Accepted/published articles

43. B. Lani-Wayda, J. G. Mesquita, Linearized instability for differential equations with dependence on the past derivative, Electron. J. Qual. Theory Differ. Equ., to appear, 2024.


42. H. Henríquez, J. G. Mesquita, H. C. dos Reis, Existence results for abstract functional differential equations with infinite state-dependent delay and applications, Artigo aceito no Mathematische Annalen, 2023, https://doi.org/10.1007/s00208-022-02561-y


41. J. G. Mesquita, A. Pereira, R. Ponce, Cosine and sine families on time scales and abstract second order dynamic equations on time scales, Artigo aceito no Mathematical Methods in the Applied Sciences, 46 (2023), n° 4, 3923-3936.


40. M. Choquehuanca, J. G. Mesquita, A. Pereira, Almost automorphic solutions of the second order dynamic equations on time scales and applications, Proceedings of American Mathematical Society, 151, n° 3 (2023), 1055-1070.


39. M. Bohner, J. G. Mesquita, S. Streipert, The Beverton-Holt model on isolated time scales, Math. Biosci. Eng. 19 (2022), n° 11, 11693-11716.


38. C. A. Gallegos, H. R. Henríquez, J. G. Mesquita, Measure functional differential equations with infinite time-dependent delay, Math. Nachr. 295 (2022), n° 7, 1327-1353.


37. M. Federson, R. Grau, J. G. Mesquita, E. Toon, Permanence of equilibrium points in the basin of attraction and existence of periodic solutions for autonomous measure differential equations and dynamic equations on time scales via generalized ODEs, Nonlinearity 35 (2022), n° 6, 3118-3158.


36. M. Bohner, J. G. Mesquita, S. Streipert, Periodicity on isolated time scales, Math. Nachr. 295 (2022), n° 2, 259-280.


35. J. G. Mesquita, U. Ostaszewska, E. Schmeidel, M. Zdanowicz, Global attractors, extremal stability and periodicity for a delayed population model with survival rate on time scales, Math. Biosci. Eng. 18 (2021), n° 5, 6819-6840.


34. C. A. Gallegos, R. Grau, J. G. Mesquita, Stability, asymptotic and exponential stability for various types of equations with discontinuous solutions via Lyapunov functionals, J. Differential Equations 299 (2021), 256-283.


33. T. F. Ma, J. G. Mesquita, P. N. Seminario-Huertas, Smooth dynamics of weakly damped Lamé systems with delay, SIAM J. Math. Anal. 53, No. 4, 3759-3771 (2021).


32. E. Alvarez, R. Grau, C. Lizama, J. G. Mesquita, Volterra-Stieltjes integral equations and impulsive Volterra-Stieltjes integral equations, Electron. J. Qual. Theory Differ. Equ. 2021, Paper No. 5, 20 p. (2021).


31. H. R. Henríquez, J. G. Mesquita, J. C. Pozo, Existence of solutions of the abstract Cauchy problem of fractional order. Journal of Functional Analysis, 281, no. 4, Article ID 109028, 39 p. (2021).


30. M. Fleury, J. G. Mesquita, A. Slavík, Massera’s theorems for various types of equations with discontinuous solution. Journal of Differential Equations, 269, no. 12, 11667-11693 (2020).


29. P. Benevieri, J. G. Mesquita, A. Pereira, Global bifurcation results for nonlinear dynamic equations on time scales. Journal of Differential Equations, 269, no. 12, 11252-11278 (2020).


28. H. Henríquez, C. Lizama, J. G. Mesquita, Semigroups on time scales and applications to abstract Cauchy problems. Topological Methods in Nonlinear Analysis, 56, no. 1, 83-115 (2020).


27. M. Federson, I. Györi, J. G. Mesquita, P. Táboas, A delay differential equation with an impulsive self-support condition. J. Dynam. Differential Equations 32 (2020), no. 2, 605–614.


26. C. Lizama, J. G. Mesquita, Asymptotically almost automorphic solutions of dynamic equations on time scales. Topological Methods in Nonlinear Analysis 54 (2019), no. 1, 59-80.


25. C. A. Gallegos, H. Henríquez, J. G. Mesquita, Growth of solutions for measure differential equations and dynamic equations on time scales. J. Math. Anal. Appl. 479 (2019), no. 1, 941–962.


24. M. Federson, R. Grau, J. G. Mesquita, E. Toon Lyapunov stability for measure differential equations and dynamic equations on time scales. Journal of Differential Equations 267 (2019), no. 7, 4192-4223.


23. M. Federson, M. Frasson, J. G. Mesquita, P. H. Tacuri, Measure Neutral Functional Differential Equations as Generalized ODEs. J. Dynam. Differential Equations 31 (2019), no. 1, 207–236.


22. M. Federson, R. Grau, J. G. Mesquita, Prolongation of solutions of measure differential equations and dynamic equations on time scales. Mathematische Nachrichten 292 (2019), no. 1, 22–55.


21. D. L. Cecílio, C. Cuevas, J. G. Mesquita, P. Ubilla, Existence of a positive solution and numerical solution for some elliptic superlinear problem. Journal of Differential Equations 266 (2019), no. 2-3, 1338–1356. (preprint)


20. M. Bohner, J. G. Mesquita, Almost periodic functions in quantum calculus. Electron. J. Differential Equations (2018), Paper No. 197, 11 pp.


19. M. Bohner, J. G. Mesquita, Massera’s theorem in quantum calculus. Proceedings of American Mathematical Society 146 (2018), no. 11, 4755–4766.


18. E. M. Bonotto, J. G. Mesquita, R. P. da Silva, Global mild solutions for a nonautonomous 2D Navier-Stokes equations with impulses at variable times. J. Math. Fluid Mech. 20 (2018), no. 2, 801–818. (preprint)


17. Hernán R. Henríquez, J. G. Mesquita, Self-accessible states for linear systems on time scales. Proceedings of American Mathematical Society 146 (2018), no. 3, 1257–1269. (preprint)


16. M. Federson, R. Grau, J. G. Mesquita, E. Toon, Boundedness of solutions of measure differential equations and dynamic equations on time scales. Journal of Differential Equations 2017, v. 263, p. 26-56, 2017. (preprint)


15. C. Lizama, J. G. Mesquita, R. Ponce, E. Toon, Almost automorphic solutions of Volterra equations on time scales. Differential Integral Equations 30 (2017), no. 9-10, 667–694. (preprint)


14. M. Bohner, J. G. Mesquita, Periodic averaging principle in quantum calculus. J. Math. Anal. Appl. 435 (2016), no. 2, 1146–1159.


13. C. Lizama, J. G. Mesquita, Addendum to Almost automorphic solutions of dynamic equations on time scales [J. Funct. Anal. 265 (10) (2013) 2267–2311]. Journal of Functional Analysis 269 (2015), no. 7, 2302-2303.


12. M. Federson, J. G. Mesquita, A new continuous dependence result for impulsive retarded functional differential equations. Czechoslovak Mathematical Journal 66, p. 1-12, 2016.


11. M. Federson, J. G. Mesquita, E. Toon, Lyapunov theorems for measure functional differential equations via Kurzweil-equations. Mathematische Nachrichten (2015), 1-25. (preprint)


10. C. Lizama, J. G. Mesquita, R. Ponce, A connection between almost periodic functions defined on time scales and R. Applicable analysis 93 (2014), no. 12, 2547-2558. (preprint)


9. C. Lizama, J. G. Mesquita, Almost automorphic solutions of non-autonomous difference equations. Journal of Mathematical Analysis and Applications 407 (2013), 339-349. (preprint)


8. C. Lizama, J. G. Mesquita, Almost automorphic solutions of dynamic equations on time scales. Journal of Functional Analysis 265 (2013), 2267-2311. (preprint)


7. M. Federson, J. G. Mesquita, Nonperiodic averaging principles for measure functional differential equations and functional dynamic equations on time scales involving impulses. Journal of Differential Equations (2013), v. 255, 3098-3126.


6. M. Federson, J. G. Mesquita, Averaging principle for functional differential equations with impulses at variable times via Kurzweil equations. Differential and Integral Equations 26 (2013), 1287-1320. (preprint)


5. M. Bohner, M. Federson, J. G. Mesquita, Continuous dependence for impulsive functional dynamic equations involving variable time scales, Appl. Math. Comput. (2013) v. 221, 383-393. (preprint)


4. M. Federson, J. G. Mesquita, A. Slavík, Basic results for functional differential and dynamic equations involving impulses, Math. Nachr., 286 (2013), no. 2-3, 181-204. (preprint)


3. M. Federson, J. G. Mesquita, A. Slavík, Measure functional differential equations and functional dynamic equations on time scales, J. Differential Equations, 252 (2012), 3816-3847. (preprint)


2. J. G. Mesquita, A. Slavík, Periodic averaging theorems for various types of equations, J. Math. Anal. Appl., 387 (2012), 862-877. (preprint)


1. M. Federson, J. G. Mesquita, Averaging for retarded functional differential equations, J. Math. Anal. Appl., 382 (2011), 77-85. (preprint)