Results 41 to 50 of about 451 (136)

A Hybrid Computational Approach for Singularly Perturbed Parabolic Differential Equations Involving Small Negative Shift Parameters

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, Awoke Andargie Tiruneh, Endalew Getnet Tsega, Shikha Binwal   +3 more
wiley   +1 more source

Non-oscillatory behaviour of higher order functional differential equations of neutral type

Electronic Journal of Differential Equations, 2007
In this paper, we obtain sufficient conditions so that the neutral functional differential equation $$displaylines{ ig[r(t) [y(t)-p(t)y(au (t))]'ig]^{(n-1)} + q(t) G(y(h(t))) = f(t) }$$ has a bounded and positive solution.
Laxmi Narayan Padhy, Prayag Prasad Mishra, Niyati Misra, Radhanath Rath   +3 more
doaj  

Analysis of a Satellite Antenna Azimuth‐Angle Positioning Control System Using a Genetic‐Algorithm–Based Proportional‐Integral–Derivative Controller

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, Riasat Islam, Debolina Chakraborty, Sumaiya Jannat Esha, Sakib Javed, Rakiba Benta Kalam, Sumon Saha, Seiichiro Katsura   +7 more
wiley   +1 more source

Hölder Estimates for the Homogenization of a Curl–Div System Related to Maxwell’s Equations With VMO Coefficients

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
wiley   +1 more source

New and Effective Oscillation Criteria for Solutions of a Class of First‐Order Advanced Differential Equations Involving the Generalized Hausdorff Derivative

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, Safa M. Mirgani, Amin Benaissa Cherif, Khaled Zennir, Smritijit Sen   +4 more
wiley   +1 more source

On the oscillation of the solutions to linear difference equations with variable delay

Electronic Journal of Differential Equations, 2008
A new criterion for the oscillation of the solutions to linear difference equations with variable delay is established. This criterion is based on a new fundamental lemma, which provides a useful inequality for the nonoscillatory solutions of the ...
Christos G. Philos, Ioannis P. Stavroulakis, George E. Chatzarakis   +2 more
doaj  

New Perspectives on the Oscillatory Behavior of First‐Order Differential and Difference Equations With Several Delays: Counterexamples and Criteria

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, Abdulaziz Almaslokh, George E. Chatzarakis, Smritijit Sen   +3 more
wiley   +1 more source

Kamenev-Type Criteria for Testing the Asymptotic Behavior of Solutions of Third-Order Quasi-Linear Neutral Differential Equations

Mathematics
This paper aims to study the asymptotic properties of nonoscillatory solutions (eventually positive or negative) of a class of third-order canonical neutral differential equations.
Hail S. Alrashdi, Wedad Albalawi, Ali Muhib, Osama Moaaz, Elmetwally M. Elabbasy   +4 more
doaj   +1 more source

A Novel Analysis of Oscillatory Properties in Nonlinear Differential Equations With Damping Terms and Advanced Arguments

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This research investigates the oscillatory behavior of a class of second‐order nonlinear advanced differential equations with a damping term. Sufficient conditions for the oscillation of all solutions were obtained using the Riccati transform and comparison techniques with first‐order advanced differential inequalities. The new results are more general
Azza M. Algatheem, Omar Bazighifan, Fahd Masood, Smritijit Sen   +3 more
wiley   +1 more source

Solvability of a Higher-Order Nonlinear Neutral Delay Difference Equation

Advances in Difference Equations, 2010
The existence of bounded nonoscillatory solutions of a higher-order nonlinear neutral delay difference equation , , where , , , and are integers, and are real sequences, , and is a mapping, is studied. Some sufficient conditions for the existence of
Liu Min, Guo Zhenyu
doaj