Results 21 to 30 of about 74 (73)

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

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

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

Comparison results and linearized oscillations for higher‐order difference equations

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 15, Issue 1, Page 129-142, 1992., 1990
Consider the difference equations and We establish a comparison result according to which, when m is odd, every solution of Eq.(1) oscillates provided that every solution of Eq.(2) oscillates and, when m is even, every bounded solution of Eq.(1) oscillates provided that every bounded solution of Eq.(2) oscillates.
G. Ladas, C. Qian
wiley   +1 more source

Oscillation and nonoscillation theorems for some mixed difference equations

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 15, Issue 3, Page 537-541, 1992., 1990
In this paper we investigate the oscillatory and nonoscillatory behavior of solutions of certain mixed third and fourth order difference equations. Specific results are also obtained for the constant coefficient cases.
B. Smith, W. E. Taylor Jr.
wiley   +1 more source

Continuous dependence and differentiation of solutions of finite difference equations

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 14, Issue 4, Page 747-756, 1991., 1991
Conditions are given for the continuity and differentiability of solutions of initial value problems and boundary value problems for the nth order finite difference equation, u(m + n) = f(m, u(m), u(m + 1), …, u(m + n − 1)), m ∈ ℤ.
Johnny Henderson, Linda Lee
wiley   +1 more source

Quasi‐adjoint third order difference equations: oscillatory and asymptotic behavior

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 9, Issue 4, Page 781-784, 1986., 1986
In this paper, asymptotic properties of solutions of are investigated via the quasi‐adjoint equation A necessary and sufficient condition for the existence of oscillatory solutions of (E+) is given. An example showing that it is possible for (E+) to have only nonoscillatory solutions is also given.
B. Smith
wiley   +1 more source

Numerical Investigation of Fractional Third-Order Differential Equation Using Quartic B-Spline Functions

open access: yesAdvances in Mathematical Physics
MSC2020 Classification: 39A12, 39B62, 33B10, 26A48, 26A51.
Syeda Alishba Batool   +4 more
doaj   +1 more source

Bounded solutions of self-adjoint second order linear difference equations with periodic coeffients

open access: yesOpen Mathematics, 2018
In this work we obtain easy characterizations for the boundedness of the solutions of the discrete, self–adjoint, second order and linear unidimensional equations with periodic coefficients, including the analysis of the so-called discrete Mathieu ...
Encinas A.M., Jiménez M.J.
doaj   +1 more source

Almost periodic solutions of Volterra difference systems

open access: yesDemonstratio Mathematica, 2017
We study the existence of an almost periodic solution of discrete Volterra systems by means of fixed point theory. Using discrete variant of exponential dichotomy, we provide sufficient conditions for the existence of an almost periodic solution.
Koyuncuoglu Halis Can, Adıvar Murat
doaj   +1 more source

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