Results 71 to 80 of about 745 (118)

Existence and uniqueness of solutions to systems of delay dynamic equations on time scales

, 2010
The purpose of this paper is to establish Picard-Lindel\"{o}f theorem for local uniqueness and existence results for first-order systems of nonlinear delay dynamic equations. In the linear case, we extend our results to global existence and uniqueness of
Karpuz, Basak
core   +1 more source

A generalization of Kummer's identity

, 2000
The well-known Kummer's formula evaluates the hypergeometric series 2F1(A,B;C;-1) when the relation B-A+C=1 holds. This paper deals with evaluation of 2F1(-1) series in the case when C-A+B is an integer.
Vidunas, Raimundas
core  

Existence and uniqueness of positive solution for nonlinear difference equations involving p(k)-Laplacian operator

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019
In this paper, we deal with the existence of at least one and of at least two positive solutions as well the uniqueness of a positive solution for an anisotropic discrete non-linear problem involving p(k)-Laplacian with Dirichlet boundary value ...
Moghadam Mohsen Khaleghi, Wieteska Renata   +1 more
doaj   +1 more source

Dynamical analysis of a discrete-time COVID-19 epidemic model. [PDF]

Math Methods Appl Sci, 2022
Qadeer Khan A, Tasneem M, Younis BAI, Ibrahim TF.   +3 more
europepmc   +1 more source

Eigenvalue problems for singular multi-point dynamic equations on time scales

Electronic Journal of Differential Equations, 2017
In this article, we study a singular multi-point dynamic eigenvalue problem on time scales. We find existence of positive solutions by constructing the Green's function and studying its positivity eigenvalue intervals. Two examples are given to
Abdulkadir Dogan
doaj  

Continuous and discrete modeling of HIV-1 decline on therapy. [PDF]

J Math Biol, 2020
Akın E, Yeni G, Perelson AS.
europepmc   +1 more source

Internal Limiting Membrane Peeling or Inverted Flap Technique Combined with Air Tamponade in the Treatment of Macular Holes in High Myopia.

Ophthalmic Res, 2023
Zhang K, Yang X, Qi B, Wu X, Wang X, Liu W.   +5 more
europepmc   +1 more source

Lyapunov-type inequality for a higher order dynamic equation on time scales. [PDF]

Springerplus, 2016
Sun T, Xi H.
europepmc   +1 more source

Positive solutions of boundary value problem for singular positone and semi-positone third-order difference equations

Advances in Difference Equations, 2011
This article studies the boundary value problems for the third-order nonlinear singular difference equations Δ 3 u ( i - 2 ) + λ a ( i ) f ( i , u ( i ) ) = 0 , i ∈ [ 2 , T + 2 ] , satisfying five ...
Gai Gongqi, Li Yunhui, Yuan Chengjun
doaj  

Approximation of the multiplicatives on random multi-normed space. [PDF]

J Inequal Appl, 2017
Agarwal RP, Saadati R, Salamati A.
europepmc   +1 more source