### Publications

**ACCEPTED/PUBLISHED ARTICLES**

35. M. Bohner, J. G. Mesquita, S. Streipert,

* Periodicity on isolated time scales. * ** Mathematische Nachrichten, ** to appear, 2021.

34. C. Gallegos, H. Henríquez, J. G. Mesquita,

* Measure functional differential equations with infinite time-dependent delay. * ** Mathematische Nachrichten, ** to appear, 2021.

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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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)