A. A. El-Gaber

ORCID: 0009-0008-3482-9147
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About
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Research Areas
  • 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.

10.22436/jnsa.017.02.01 article EN The Journal of Nonlinear Sciences and Applications 2024-02-23

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.

10.1186/s13661-024-01873-z article EN cc-by Boundary Value Problems 2024-05-27

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...

10.1142/s0218127424501712 article EN International Journal of Bifurcation and Chaos 2024-10-17

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.

10.22436/jmcs.028.01.06 article EN Journal of Mathematics and Computer Science 2022-05-02

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.

10.22436/jmcs.032.04.01 article EN Journal of Mathematics and Computer Science 2023-10-26

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.

10.22436/jmcs.034.02.08 article EN Journal of Mathematics and Computer Science 2024-03-07

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.

10.3390/math12203217 article EN cc-by Mathematics 2024-10-14
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