Results 11 to 20 of about 546 (157)

On the solutions of two special types of Riccati difference equation via Fibonacci numbers [PDF]

open access: yes, 2013
In this study, we investigate the solutions of two special types of the Riccati difference equation xn+1=11+xn and yn+1=1−1+yn such that their solutions are associated with Fibonacci numbers.MSC: 11B39, 39A10, 39A13.
D. T. Tollu, Y. Yazlık, N. Taşkara
semanticscholar   +2 more sources

Qualitative Behavior of Bidimensional Rational Fuzzy Difference Equations

open access: yesAbstract and Applied Analysis
MSC2020 Classification:03E72, 39A10 ...
Najmeddine Attia, Ahmed Ghezal
doaj   +2 more sources

On a class of second-order nonlinear difference equation [PDF]

open access: yesAdvances in Difference Equations, 2011
In this paper, we consider the rule of trajectory structure for a kind of second-order rational difference equation. With the change of the initial values, we find the successive lengths of positive and negative semicycles for oscillatory solutions of ...
Maoxin Liao, Dongsheng Li, Shuliang Zou
doaj   +2 more sources

Fractional Inequalities for Exponentially s-Convex Functions on Time Scales [PDF]

open access: yesJournal of Advances in Applied & Computational Mathematics
In this paper, we present new integral inequalities involving exponentially s-convex functions in the second sense on time scales. By utilizing the delta Riemann-Liouville fractional integral and the fractional Taylor formula, we establish upper bounds ...
S. Georgiev, V. Darvish
semanticscholar   +2 more sources

Nonstandard Discretization Scheme in Volterra Integro-differential Equations that Preserves Uniform Asymptotic Stability

open access: yesJournal of Advances in Applied & Computational Mathematics
We apply a nonstandard discretization scheme to continuous Volterra integro-differential equations and we show that under this discretization, the necessary and sufficient conditions for uniform asymptotic stability of continuous Volterra integro ...
Y. Raffoul   +3 more
semanticscholar   +2 more sources

Analysis and numerical solution of SEIR epidemic model of measles with non-integer time fractional derivatives by using Laplace Adomian Decomposition Method

open access: yesAin Shams Engineering Journal, 2018
SEIR epidemic model which represents the direct transmission of infectious disease are considered to control the measles disease for infected population.
Muhammad Farman   +3 more
doaj   +2 more sources

Multiplicity results for a generalized Sturm-Liouville dynamical system on time scales [PDF]

open access: yesAdvances in Difference Equations, 2011
By applying the fixed point theorem in cones, some new and general results on the existence of positive solution to second order generalized Sturm-Liouville dynamical system on time scale T u 1 Δ Δ ( t ) + h 1 (
Zhang Youwei
doaj   +2 more sources

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

open access: yesAdvances 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   +1 more source

Existence and monotone iteration of symmetric positive solutions for integral boundary-value problems with ?-Laplacian operator [PDF]

open access: yes, 2014
The purpose of this paper is to investigate the existence and iteration of symmetric positive solutions for integral boundary-value problems. An existence result of positive, concave and symmetric solutions and its monotone iterative scheme are ...
Hamal N.A., Cerdik T.S.
core   +2 more sources

Growth properties of solutions of linear difference equations with coefficients having $\varphi$-order

open access: yes, 2023
In this paper, we investigate the relations between the growth of entire coefficients and that of solutions of complex homogeneous and non-homogeneous linear difference equations with entire coefficients of φ-order by using a slow growth scale, the φ ...
Pulak Sahoo   +3 more
core   +1 more source

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