Results 41 to 50 of about 247 (76)

Multiple positive solutions for first-order impulsive integral boundary value problems on time scales

open access: yesBoundary Value Problems, 2011
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

open access: yes, 2018
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
core   +1 more source

Some implications of a new definition of the exponential function on time scales

open access: yes, 2010
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

open access: yes, 2010
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  

Conformable fractional Dirac system on time scales. [PDF]

open access: yesJ Inequal Appl, 2017
Gulsen T, Yilmaz E, Goktas S.
europepmc   +1 more source

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