Results 11 to 20 of about 530 (62)
A New Algorithm for Solving Terminal Value Problems of q‐Difference Equations
Discrete Dynamics in Nature and Society, Volume 2018, Issue 1, 2018., 2018 We propose a new algorithm for solving the terminal value problems on a q‐difference equations. Through some transformations, the terminal value problems which contain the first‐ and second‐order delta‐derivatives have been changed into the corresponding initial value problems; then with the help of the methods developed by Liu and H.
Yong-Hong Fan +2 more
wiley +1 more source
Nabla Discrete fractional Calculus and Nabla Inequalities [PDF]
, 2009 Here we define a Caputo like discrete nabla fractional difference and we produce discrete nabla fractional Taylor formulae for the first time. We estimate their remaiders.
Anastassiou, George A.
core +1 more source
Global attractivity in a genotype selection model
International Journal of Mathematics and Mathematical Sciences, Volume 29, Issue 9, Page 537-544, 2002., 2002 We obtain a sufficient condition for the global attractivity of the genotype selection model yn+1=yneβn(12−yn−k)/(1−yn+yneβn(12−yn−k)), n ∈ ℕ. Our results improve the results established by Grove et al. (1994) and Kocić and Ladas (1993).
Xiaoping Li
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International Journal of Mathematics and Mathematical Sciences, Volume 25, Issue 3, Page 175-182, 2001., 2001 We consider the global existence and asymptotic behavior of solution of second‐order nonlinear impulsive differential equations.
Denghua Cheng, Jurang Yan
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Some discrete Poincaré‐type inequalities
International Journal of Mathematics and Mathematical Sciences, Volume 25, Issue 7, Page 479-488, 2001., 2001 Some discrete analogue of Poincaré‐type integral inequalities involving many functions of many independent variables are established. These in turn can serve as generators of further interesting discrete inequalities.
Wing-Sum Cheung
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Open Mathematics, 2020 By using the bifurcation method, we study the existence of an S-shaped connected component in the set of positive solutions for discrete second-order Neumann boundary value problem.
Miao Liangying, Liu Jing, He Zhiqian
doaj +1 more source
International Journal of Mathematics and Mathematical Sciences, Volume 23, Issue 4, Page 261-270, 2000., 2000 An open problem given by Kocic and Ladas in 1993 is generalized and considered. A sufficient condition is obtained for each solution to tend to the positive steady‐state solution of the systems of nonlinear Volterra difference equations of population models with diffusion and infinite delays by using the method of lower and upper solutions and monotone
B. Shi
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Difference analogue of the Lemma on the Logarithmic Derivative with applications to difference equations [PDF]
, 2005 The Lemma on the Logarithmic Derivative of a meromorphic function has many applications in the study of meromorphic functions and ordinary differential equations.
Halburd, R. G., Korhonen, R. J.
core +3 more sources
Solvability of a nonlinear second order conjugate eigenvalue problem on a time scale
Abstract and Applied Analysis, Volume 5, Issue 2, Page 91-99, 2000., 2000 We consider the nonlinear second order conjugate eigenvalue problem on a time scale: y ΔΔ(t) + λa(t)f(y(σ(t))) = 0, t ∈ [0, 1], y(0) = 0 = y(σ(1)) . Values of the parameter λ (eigenvalues) are determined for which this problem has a positive solution. The methods used here extend recent results by allowing for a broader class of functions for a(t).
John M. Davis +3 more
wiley +1 more source
Computational and Mathematical Biophysics, 2019 We study the discrete and discrete fractional representation of a pharmacokinetics - pharmacodynamics (PK-PD) model describing tumor growth and anti-cancer effects in continuous time considering a time scale hℕ0h$h\mathbb{N}_0^h$, where h > 0.
Atıcı Ferhan M. +4 more
doaj +1 more source