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Citation - Scopus: 6
The Euler Method for Dynamic Equations on Time Scales
(Cambridge Scientific Publishers, 2021) Bohner,M.; Erhan,İ.M.; Georgiev,S.G.
In this paper, we generalize the Euler method for dynamic equations on time scales. We give estimates for the local and global truncation errors. We apply the method to specimen examples and provide numerical results to support our theoretical discussion. © 2021. All Rights Reserved.
Citation - Scopus: 6
Positive Solutions of a Second Order M-Point Bvp on Time Scales
(2009) Topal,S.G.; Yantir,A.
In this study, we are concerned with proving the existence of multiple positive solutions of a general second order nonlinear m-point boundary value problem (m-PBVP) uΔ∇(t) + a(t)uΔ(t) + b(t)u(t) + λh(t)f(t, u) = 0,t∈ [0,1], u(p(0))=0, u(σ(1)) Σm-2,i=1 α iu(ni),on time scales. The proofs are based on the fixed point theorems in a Banach space. We present an example to illustrate how our results work. © 2009 InforMath Publishing Group.