Titlebook: Combined Measure and Shift Invariance Theory of Time Scales and Applications; Chao Wang,Ravi P. Agarwal Book 2022 The Editor(s) (if applic

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否認(rèn)

GLOSS

責(zé)問(wèn)

冷淡周邊

Almost Periodic Functions Under Matched Spaces of Time Scales,periodic functions under matched spaces is developed. In Sect. 4.3, a notion of .-almost periodic stochastic process in shift operators is addressed and some basic results are presented. In Sect. 4.4, a generalized notion of .-almost periodic functions called ..-order .-almost periodic functions is proposed and investigated.

譏笑

譏笑

Almost Automorphic Dynamic Equations Under Matched Spaces,ic solutions of the general inhomogeneous dynamic equations are studied. Moreover, In Sect. 8.3, the almost automorphy of the solutions to dynamic equations with shift operators is analyzed and some basic results of the discontinuous cases are established.

VEN

,,-Semigroup and Stepanov-Like Almost Automorphic Functions on Hybrid Time Scales,d. Moreover, the weak automorphy of such functions in the quantum case is discussed. Sections 6.4 and 6.5 are focused on introducing the theory of shift-semigroup and Stepanov-like almost automorphic functions under the matched space of time scales.

長(zhǎng)處

Almost Periodic Dynamic Equations Under Matched Spaces,cial case. In Sects. 7.1–7.3, by using the developed theory of matched spaces of time scales, the basic theory of dynamic equations under matched space of time scales is established and some effective methods are provided to study the almost periodic solutions of dynamic equations on hybrid time scales.

言外之意

Applications to Dynamics Models Under Matched Spaces,l are investigated. In Sect. 9.2, the mean-square almost periodic stochastic process with shift operators is applied to study the almost periodic oscillations for delay impulsive stochastic Nicholson’s blowflies timescale model on hybrid time scales.