Results 41 to 50 of about 131 (124)
Journal of Mathematics, Volume 2026, Issue 1, 2026.In this paper, we investigate the stability and numerical solution of second‐order linear nonhomogeneous equations with the general quantum B‐difference operator. We prove Hyers–Ulam stability (HU s) and Hyers–Ulam–Rassias stability (HUR s) for these equations using a Riccati equation approach and variation of parameters technique.
Karima M. Oraby +3 more
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International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 39, Page 2455-2463, 2003., 2003 A kth‐order linear difference equation with constant coefficients subject to boundary conditions is considered. A necessary and sufficient condition for the existence of a unique solution for such a boundary value problem is established. The condition established answers a fundamental question for well‐posedness and can be easily applied using a simple
Raghib Abu-Saris, Wajdi Ahmad
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The role of prostitution on HIV transmission with memory: A modeling approach
Alexandria Engineering Journal, 2020 HIV is a topic that has been greatly discussed and researched due to its impact on human population. Many campaigns have been put into place, and people have been made aware of the various effects of the disease.
Parvaiz Ahmad Naik +2 more
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, 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.
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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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Characterization of the Dᵂ-Laguerre-Hahn functionals [PDF]
, 2002 29 pages, no figures.-- MSC2000 codes: 33C45, 39A10.MR#: MR1914598 (2003e:33021)Zbl#: Zbl 1021.33007We give some characterization theorems for the DᵂLaguerre-Hahn linear functionals and we extend the concept of the class of the usual Laguerre-Hahn ...
Foupouagnigni, M. +4 more
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Dynamics Study and Solutions Expressions of Rational Discrete Systems
Discrete Dynamics in Nature and Society, Volume 2025, Issue 1, 2025.This article goal is to study the qualitative behaviors for the following rational difference systems Un+1 = d1Un−1 + a1Vn−5Un−1/b1 + e1Vn−5 + Vn−3(s1 + c1Vn−5VnUn−4Un−1), Vn+1 = d2Vn−1 + a2Un−5Vn−1/b2 + e2Un−5 + Un−3(s2 + c2Un−5UnVn−4Vn−1), namely, local asymptotic stable, global attractor of the equilibrium points and the boundedness of the positive ...
B. S. Alofi, Ahmed Ezzat Matouk
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Asymptotic behavior of the solutions of a discrete reaction‐diffusion equation
International Journal of Mathematics and Mathematical Sciences, Volume 29, Issue 5, Page 257-264, 2002., 2002 By means of Bihari type inequalities, we derive sufficient conditions for solutions of a discrete reaction‐diffusion equation to be bounded or to converge to zero. Asymptotic representation of solutions are also derived. Our results yield estimates and explicit attractive regions for the solutions.
Rigoberto Medina, Sui Sun Cheng
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SOLVING DIFFERENCE EQUATIONS IN SEQUENCES: UNIVERSALITY AND UNDECIDABILITY
Forum of Mathematics, Sigma, 2020 We study solutions of difference equations in the rings of sequences and, more generally, solutions of equations with a monoid action in the ring of sequences indexed by the monoid. This framework includes, for example, difference equations on grids (for
GLEB POGUDIN +2 more
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Estimates for the norms of solutions of delay difference systems
International Journal of Mathematics and Mathematical Sciences, Volume 30, Issue 11, Page 697-703, 2002., 2002 We derive explicit stability conditions for delay difference equations in ℂn (the set of n complex vectors) and estimates for the size of the solutions are derived. Applications to partial difference equations, which model diffusion and reaction processes, are given.
Rigoberto Medina
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