Abstract
First, we show a new composition theorem for both Stepanov almost periodic functions and for weighted Stepanov-like pseudo almost periodic functions on time scales. Next, under some suitable assumptions, we study the existence and uniqueness of weighted pseudo almost periodic solutions to some first-order dynamic equations on time scales with weighted Stepanov-like pseudo almost periodic coefficients.
Publisher
Sociedade Paranaense de Matematica
Reference17 articles.
1. Alvarez, E., Composition and convolution theorems for µ-Stepanov pseudo almost periodic functions and applications to fractional integro-differential equations. Electronic Journal of Differential Equations, Vol. 2018, No. 27, pp. 1-15, (2018).
2. Bohner, M. and Peterson, A., Dynamic Equations on Time Scales: An Introduction with Applications. Birkh¨auser: Boston, MA, USA, 2001. https://doi.org/10.1007/978-1-4612-0201-1
3. Cabada, A. and Vivero, D., Expression of the Lebesgue D-integral on time scales as a usual Lebesgue intregral, application to the calculus of D-antiderivatives. Mathematical and Computer Modelling 43, pp.194-207, (2006). https://doi.org/10.1016/j.mcm.2005.09.028
4. Deniz, A. and Ufuktepe, U., Lebesgue-Stieltjes Measure on Time Scales. Turk. J. Math., 33, 27-40, (2009). https://doi.org/10.3906/mat-0711-11
5. Diagana, T., Weighted pseudo-almost periodic solution to some differential equations. Nonlinear Anal., 68, pp. 2250-2260, (2008). https://doi.org/10.1016/j.na.2007.01.054
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