Aims and Scope

Applicable Nonlinear Analysis (APNA) is an international, peer-reviewed journal publishing original research in nonlinear analysis, nonlinear mathematical modelling, and computational methods, with particular emphasis on rigorous mathematical contributions and their significance for applied mathematics, scientific computing, and relevant engineering and technological problems.

The journal seeks to advance the theory, analysis, and computation of nonlinear phenomena through original mathematical results, well-founded analytical techniques, and validated numerical or computational approaches.

Subject Areas

The journal welcomes high-quality contributions in the following areas:

1. Nonlinear Differential Equations: Qualitative theory, existence and uniqueness, stability, boundary-value problems, and analytical or numerical methods for nonlinear ordinary and partial differential equations.
2. Nonlinear Dynamical Systems and Control: Stability analysis, bifurcation theory, nonlinear control, and the mathematical analysis of complex dynamical systems.
3. Numerical Analysis and Computational Methods: Convergence, stability, error analysis, and numerical algorithms for nonlinear equations, systems, and mathematical models.
4. Nonlinear Optimization and Variational Methods: Nonlinear optimization, variational inequalities, equilibrium problems, and computational approaches to nonlinear decision and optimization problems.
5. Mathematical Modelling and Applications: Rigorous mathematical models of nonlinear phenomena in engineering, physical sciences, and other relevant applied disciplines.
6. Nonlinear Functional Analysis: Operator theory, fixed-point methods, and related analytical techniques, particularly where the results establish significant advances in nonlinear problems or applications.
7. Geometric and Topological Methods in Nonlinear Analysis: APNA encourages research employing geometric and topological tools to study nonlinear systems, including applications of manifold theory, differential geometry, and topology in nonlinear analysis.

Publication Standards

Submissions must demonstrate originality, mathematical rigor, clear research objectives, and a substantive contribution beyond existing literature. Computational and applied studies should clearly describe their methodology and establish the validity and significance of their results.

The journal follows a transparent peer-review process and applies established standards of publication ethics, research integrity, and editorial independence.

APNA welcomes submissions from researchers worldwide whose work falls within its stated scope and meets its standards of scholarly quality.