Results 61 to 70 of about 2,861,683 (201)
Numerical and Analytical Solutions for a Nonlinear System
International Journal of Differential Equations, Volume 2026, Issue 1, 2026.This paper investigates two nonlinear reaction–diffusion systems: (i) a spatially extended competitive species model and (ii) the FitzHugh–Nagumo system, which serves as a canonical model of excitable media. For the first system, we derive exact closed‐form solutions using the exponential function method; these solutions exhibit spatially periodic ...
Badran Jasim Salim +2 more
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International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.The present paper addresses the numerical computation of singularly perturbed differential equations incorporating small negative shift parameters in the convection and reaction terms. Since the diffusion term is scaled by a sufficiently small parameter ε(0 < ε ≪ 1), the solution typically develops multiscale characteristics manifested through boundary
Amare Worku Demsie +3 more
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Journal of Control Science and Engineering, Volume 2026, Issue 1, 2026.Precise satellite antenna control is essential for maintaining reliable communication links and signal accuracy. However, selecting an appropriate controller and tuning its parameters remain challenging because controller characteristics and parameter combinations strongly influence transient and steady‐state performance.
A. N. M. Fuhadul Islam +7 more
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Journal of Mathematics, Volume 2026, Issue 1, 2026.In this paper, we consider the curl–div system: ∇×(A(x/ε)∇×uε) = ∇×f and ∇⋅uε = 0 with rapidly oscillating periodic coefficients. This system is related to Maxwell’s equations and has a structure different from that of general elliptic systems. Under VMO coefficients, we establish the uniform interior Hölder estimates and local boundary Hölder ...
Zhihong Chen, Dimitri Mugnai
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Journal of Mathematics, Volume 2026, Issue 1, 2026.In this paper, we investigate the oscillatory behavior of a class of first‐order advanced differential equations involving the generalized Hausdorff derivative. By employing a recursive sequence method in combination with a Riccati transformation technique, we establish several new sufficient conditions that guaranty the oscillation of all solutions ...
Fatima Zohra Ladrani +4 more
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Quasi-adjoint third order difference equations: oscillatory and asymptotic behavior
International Journal of Mathematics and Mathematical Sciences, 1986 In this paper, asymptotic properties of solutions ofΔ3Vn+Pn−1Vn+1=0 (E+)are investigated via the quasi-adjoint equationΔ3Un+PnUn+2=0. (E−)A necessary and sufficient condition for the existence of oscillatory solutions of (E+) is ...
B. Smith
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Oscillation of the per capita growth rate
مجلة بغداد للعلوم, 2005 in this paper cquations of the per capita growth rate are considered sufficient conditions for oscillation of all solutions are obtained the asymptotie behavior of the nonoscillatory solution of all souliotions are ...
Baghdad Science Journal
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Advances in Difference Equations, 2020 We study the existence of nonoscillatory solutions tending to zero of a class of third-order nonlinear neutral dynamic equations on time scales by employing Krasnoselskii’s fixed point theorem. Two examples are given to illustrate the significance of the
Yang-Cong Qiu +3 more
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Nonoscillatory solutions of a second-order difference equation of Poincaré type
Applied Mathematics Letters, 2009 For the difference equation \[ x_{n+2}+b_nx_{n+1}+c_nx_n=0 \] with real coefficients satisfying \(b_n\to ...
Medina, Rigoberto, Pituk, Mihaly
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Journal of Mathematics, Volume 2026, Issue 1, 2026.This paper investigates the oscillatory behavior of first‐order linear differential and difference equations with several delays. The main objective is to determine whether classical liminf‐type oscillation conditions for single‐delay equations can be extended to the several‐delay setting and to develop sharp oscillation criteria for this more general ...
Emad R. Attia +3 more
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