Dynamic equations on time scales and generalized ordinary differential equations

71 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Measure functional differential equations and functional dynamic equations on time scales (2012, methodology): “In [22], A.”
Almost automorphic solutions of dynamic equations on time scales (2013, background): “Because of this fact, it has been attracting the attention of many mathematicians (see [1], [6], [10], [22], [23], [24], [26], [27], [45], [46], [47], [48], for instance and the references therein) and the interest in the subject remains growing.”
Measure Functional Differential Equations in the Space of Functions of Bounded Variation (2013, background): “Likewise, an appropriate construction [13, 20] allows one to regard differential equations on time scales [12] as measure differential equations.”
Theory and applications of first-order systems of Stieltjes differential equations (2017, background): “To do so, we fix a, b ∈ T, a < b, and we introduce the Slavík function corresponding to [a, b] ∩T, see [10], which is the function g : R→ T defined as g(t) = a for all t < a, g(t) = inf{s ∈ T : s ≥ t} for all t ∈ (a, b], and g(t) = b for t > b.”
Basic results for functional differential and dynamic equations involving impulses (2013, background): “The following theorem from [16] describes the relation between the ∆-integral and the Kurzweil-HenstockStieltjes integral.”