Applied Mathematics and Numerical Analysis: Theory and Applications, 2nd Edition

A special issue of Axioms (ISSN 2075-1680). This special issue belongs to the section "Mathematical Analysis".

Deadline for manuscript submissions: 28 February 2026 | Viewed by 500

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Department of Civil Engineering, Polytechnic School, Democritus University of Thrace, Kimmeria Campus, 671 00 Xanthi, Greece
Interests: applied mathematics; numerical analysis; numerical solution of differential equations
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Special Issue Information

Dear Colleagues,

Numerical analysis is a major branch of mathematics and consists of mathematical approximation techniques and computational methods.

Numerical methods are applied in all fields of engineering, physical sciences, life sciences, social sciences, medicine, business, etc. The main interests of numerical schemes include approximation, simulation, and estimation, and they are used in virtually every scientific field.

In this Special Issue, original research articles and reviews are welcome. Research areas may include (but are not limited to) the following: numerical approaches and solutions to ordinary differential equations (ODEs), partial differential equations (PDEs), stochastic differential equations (SDEs), delay differential equations (DDEs), differential-algebraic equations (DAEs), numerical stability, interpolation, approximation, quadrature methods, numerical linear algebra, initial and boundary conditions, numerical fractional analyses, optimization, integral equations, iterative methods for solving nonlinear equations and systems, etc., and their applications for solving real problems in the sciences and engineering.

I look forward to receiving your contributions.

Dr. Avrilia Konguetsof
Guest Editor

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Keywords

  • ordinary differential equations (ODEs)
  • partial differential equations (PDEs)
  • stochastic differential equations (SDEs)
  • delay differential equations (DDEs)
  • differential-algebraic equations (DAEs)
  • integral equations
  • iterative methods
  • fluid dynamics
  • thermodynamics
  • quantum dynamics
  • control theory

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Published Papers (1 paper)

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Research

24 pages, 1811 KB  
Article
Third-Order Nonlinear Neutral Delay Differential Equations with Several Deviating Arguments: Improved Oscillation Criteria
by Asma Al-Jaser, Stefano Serra-Capizzano, Eman Alluqmani and Belgees Qaraad
Axioms 2025, 14(11), 850; https://doi.org/10.3390/axioms14110850 - 18 Nov 2025
Viewed by 278
Abstract
In this paper, we initiate the study of the asymptotic and oscillatory properties of solutions to third-order functional differential equations. Using the Riccati transformation to eliminate the existence of non-oscillatory solutions, we derive various oscillation criteria that address different models of the studied [...] Read more.
In this paper, we initiate the study of the asymptotic and oscillatory properties of solutions to third-order functional differential equations. Using the Riccati transformation to eliminate the existence of non-oscillatory solutions, we derive various oscillation criteria that address different models of the studied equation. Our primary focus is on reducing the constraints imposed on oscillation criteria, thereby broadening their applicability. Our results improve, refine, and extend some of the known findings in previous studies. Several examples are presented to illustrate the significance of the main results. Full article
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