Aims & Scopes

The international journal of Applicable Nonlinear Analysis (APNA) is a leading peer-reviewed publication dedicated to the mathematical exploration, theoretical advancements, and practical applications of nonlinear analysis across diverse mathematical disciplines. APNA aims to serve as a open platform for researchers, mathematicians, and practitioners to disseminate original research, innovative methodologies, and rigorous mathematical analyses in nonlinear systems and phenomena.

Focused Areas

1. Nonlinear Differential Equations: APNA invites contributions that explore analytical and numerical methods for studying nonlinear differential equations, including ordinary and partial differential equations, stochastic differential equations, functional differential equations, and integral equations;

2. Dynamical Systems Theory: The journal welcomes research on dynamical systems theory, bifurcation analysis, stability theory, chaos theory, and related topics, investigating the behavior of nonlinear systems under various dynamics and perturbations;

3. Mathematical Modeling of Nonlinear Phenomena: APNA seeks submissions focusing on the development and analysis of mathematical models describing nonlinear phenomena in physics, biology, engineering, finance, and other scientific domains;

4. Optimization in Nonlinear Analysis: Contributions on optimization techniques, variational methods, convex and non-convex optimization problems, optimization algorithms for nonlinear systems, and their applications in mathematical modeling and analysis;

5. Control Theory in Nonlinear Systems: Emphasizing control aspects of nonlinear systems, including stability analysis, robust control, adaptive control, optimal control, and their applications in managing nonlinear dynamics;

6. Nonlinear Functional Analysis: The journal invites research on nonlinear functional analysis, variational methods, fixed-point theory, coincidence point theory, operator theory, and related areas, emphasizing their applications in nonlinear problems;

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 Types

• Original Research Articles presenting significant mathematical contributions;
• Review Articles offering comprehensive surveys of specific areas in nonlinear analysis;
• Short Communications highlighting concise, impactful findings;
• Perspectives and Opinions providing insights into emerging trends or critical debates;
• Case Studies demonstrating the application of mathematical tools in solving nonlinear problems.

Audience

APNA targets researchers, graduate students, and professionals interested in rigorous mathematical analysis, offering a specialized platform for sharing novel findings, methodologies, and theoretical developments in nonlinear analysis within a mathematical framework.