Results 41 to 50 of about 247 (76)
In this paper, we first present a class of first-order nonlinear impulsive integral boundary value problems on time scales. Then, using the well-known Guo-Krasnoselskii fixed point theorem and Legget-Williams fixed point theorem, some criteria for the ...
Li Yongkun, Shu Jiangye
doaj
Qualitative analysis of dynamic equations on time scales
In this article, we establish the Picard-Lindelof theorem and approximating results for dynamic equations on time scale. We present a simple proof for the existence and uniqueness of the solution.
Abbas, Syed
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On the quasi-steady-state approximation in an open Michaelis-Menten reaction mechanism. [PDF]
Eilertsen J +3 more
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A Survey of Function Analysis and Applied Dynamic Equations on Hybrid Time Scales. [PDF]
Wang C, Agarwal RP.
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Some implications of a new definition of the exponential function on time scales
We present a new approach to exponential functions on time scales and to timescale analogues of ordinary differential equations. We describe in detail the Cayley-exponential function and associated trigonometric and hyperbolic functions. We show that the
Cieśliński, Jan L.
core
New definitions of exponential, hyperbolic and trigonometric functions on time scales
We propose two new definitions of the exponential function on time scales. The first definition is based on the Cayley transformation while the second one is a natural extension of exact discretizations.
Cieslinski, Jan L.
core
Dynamic Opial diamond-α integral inequalities involving the power of a function. [PDF]
Mirković TZ.
europepmc +1 more source
Conformable fractional Dirac system on time scales. [PDF]
Gulsen T, Yilmaz E, Goktas S.
europepmc +1 more source
Lyapunov-type inequality for a higher order dynamic equation on time scales. [PDF]
Sun T, Xi H.
europepmc +1 more source

