- Differential Equations and Numerical Methods
- Numerical methods for differential equations
- Nonlinear Differential Equations Analysis
- Stability and Controllability of Differential Equations
- Differential Equations and Boundary Problems
- Mathematical functions and polynomials
- Optical Network Technologies
- Mathematical and Theoretical Epidemiology and Ecology Models
- Fractional Differential Equations Solutions
- Advanced Mathematical Modeling in Engineering
- Nonlinear Waves and Solitons
- Nonlinear Photonic Systems
- Semiconductor Quantum Structures and Devices
- Chaos control and synchronization
Menoufia University
2022-2024
The oscillatory behavior of solutions an even-order neutral differential equation with distributed deviating arguments is considered using Riccati, generalized Riccati transformations, integral averaging technique Philos type and the theory comparison.New sufficient conditions are established in both canonical noncanonical cases.Two examples given to support our results.
Abstract The oscillatory behavior of solutions an even-order differential equation with a superlinear neutral term is considered using Riccati and generalized transformations, the integral averaging technique, theory comparison. New sufficient conditions are established in noncanonical case. An example given to support our results.
This paper discusses the effect of density-dependent birth rate in a discrete predator–prey system with mixed functional responses Holling types I and III. We use Beverton–Holt function to modify parameter prey species. The steady states their stability are established. criteria for flip bifurcation (FB) Neimark–Sacker (NSB) proposed analytically using center manifold theorem normal theory. Using state feedback control method, it is shown that chaotic orbit can be stabilized at an unstable...
A general class of fourth-order neutral differential equations with distributed deviating arguments is considered.New oscillation criteria are deduced in both canonical and noncanonical cases.Two illustrative examples given.
The oscillatory and non-oscillatory behavior of solutions third-order neutral differential equations with distributed deviating arguments is discussed.New sufficient conditions that guarantee the oscillation are deduced.The obtained results improve extend some recent criteria appeared in literature.Two illustrative examples given.
In this paper, we establish some new sufficient conditions which guarantee the oscillatory behavior of solutions a class second-order damped neutral differential equations with sub-linear terms.Our criteria improve and complement related results in literature.Two examples are given to justify our main results.
The oscillation and asymptotic behavior of solutions a general class damped second-order differential equations with several sub-linear neutral terms is considered. New sufficient conditions are established to fulfill part the gap in theory for case equations. Our main results improve generalize some those recently published literature. Several examples given support our results.