Results 21 to 30 of about 684 (97)

A note on convexity, concavity, and growth conditions in discrete fractional calculus with delta difference

open access: yes, 2016
We demonstrate that some recent results regarding the connection between the convexity of the map t → f (t) and the sign of Δa f (t) , with 2 < ν < 3 , can be improved.
C. Goodrich
semanticscholar   +1 more source

Global existence and asymptotic behavior of solution of second‐order nonlinear impulsive differential equations

open access: yesInternational 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
wiley   +1 more source

Some discrete fractional Lyapunov-type inequalities

open access: yes, 2015
In this work we obtain Lyapunov-type inequalities for two-point conjugate and rightfocal boundary value problems depending on discrete fractional operators Δα , 1 < α 2 . Mathematics subject classification (2010): Primary 34A08, 26D15; Secondary 39A12.
R. Ferreira
semanticscholar   +1 more source

Some discrete Poincaré‐type inequalities

open access: yesInternational 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
wiley   +1 more source

Stability of the positive steady‐state solutions of systems of nonlinear Volterra difference equations of population models with diffusion and infinite delay

open access: yesInternational 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
wiley   +1 more source

A study on discrete and discrete fractional pharmacokinetics-pharmacodynamics models for tumor growth and anti-cancer effects

open access: yesComputational 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

Solvability of a nonlinear second order conjugate eigenvalue problem on a time scale

open access: yesAbstract 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

Comparison and oscillation results for delay difference equations with oscillating coefficients

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 19, Issue 1, Page 171-176, 1996., 1993
In this paper we consider the oscillation of the delay difference equation with oscillating coefficients Some comparison and oscillation results are obtained.
Weiping Yan, Jurang Yan
wiley   +1 more source

Triple solutions for a Dirichlet boundary value problem involving a perturbed discrete p(k)-Laplacian operator

open access: yesOpen Mathematics, 2017
Triple solutions are obtained for a discrete problem involving a nonlinearly perturbed one-dimensional p(k)-Laplacian operator and satisfying Dirichlet boundary conditions.
Khaleghi Moghadam Mohsen   +1 more
doaj   +1 more source

Discrete, Continuous, Delta, Nabla, and Diamond-Alpha Opial Inequalities

open access: yes, 2015
In this paper, we prove some new diamond-alpha dynamic inequalities of Opial type with one and with two weight functions on time scales. These results contain as special cases improvements of results given in the literature, and these improvements are ...
M. Bohner, R. R. Mahmoud, S. Saker
semanticscholar   +1 more source

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