Published-on by Indian Scientist

Innovative Research Award

K.S. Vidhyaa
Affiliation Easwari Engineering College, Chennai
Country India
Google Scholar 0TsqvHEAAAAJ
Citations 108
i10-index 4
Research Area Mathematics, Differential Equations, Difference Equations, Oscillation Theory
Documents 13
Patents 1 Published Patent
Books 2
Specialization Oscillation Theory, Differential Equations, Difference Equations, Mathematical Analysis
Event Indian Scientist Awards

K.S. Vidhyaa
Easwari Engineering College, Chennai, India

K.S. Vidhyaa is an Indian academician, mathematician, and researcher specializing in Differential Equations, Difference Equations, Oscillation Theory, and Mathematical Analysis. She is currently serving as Assistant Professor (Senior Grade) at Easwari Engineering College, Chennai, Tamil Nadu, India. With more than two decades of academic experience, her research primarily focuses on oscillatory behavior and asymptotic analysis of nonlinear differential and difference equations.

Vidhyaa has contributed extensively to mathematical sciences through SCI and Scopus-indexed publications, conference presentations, book publications, patents, faculty development programs, and academic leadership activities. Her work in oscillation theory and nonlinear mathematical modeling demonstrates strong scholarly impact and advanced analytical expertise.

Abstract

K.S. Vidhyaa has significantly contributed to the field of Mathematics through advanced research in oscillation theory, nonlinear differential equations, delay difference equations, and asymptotic analysis. Her scholarly work focuses on developing oscillation criteria and analytical methods for higher-order nonlinear equations with neutral and delay terms.

Through extensive publications in reputed SCI and Scopus-indexed journals, conference presentations, and interdisciplinary mathematical research, Vidhyaa has established a strong academic presence in modern mathematical analysis and nonlinear dynamical systems.

Keywords

Mathematics, Differential Equations, Difference Equations, Oscillation Theory, Nonlinear Equations, Delay Difference Equations, Asymptotic Analysis, Neutral Differential Equations, Mathematical Modeling, Dynamical Systems.

Introduction

Mathematical sciences play a crucial role in scientific innovation, engineering applications, computational modeling, and theoretical analysis. The study of differential and difference equations forms the foundation for modeling complex physical, biological, and engineering systems. Oscillation theory and asymptotic analysis are particularly important for understanding stability, convergence, and dynamic behavior in nonlinear systems.

K.S. Vidhyaa’s research work contributes substantially to these advanced mathematical domains through analytical investigations on nonlinear delay difference equations, oscillatory behavior, neutral equations, and asymptotic properties. Her research demonstrates significant theoretical value and contributes toward modern mathematical analysis.

Research Profile

K.S. Vidhyaa completed her Ph.D. from SRM Institute of Science and Technology in 2019. She obtained her M.Phil. from Madurai Kamaraj University in 2004, M.Sc. from Sri Sarada College for Women under Periyar University in 2002, and B.Sc. from Sri Sarada College for Women under Madras University in 2000.

Her doctoral research focused on oscillatory behavior and asymptotic analysis of nonlinear differential and difference equations. She possesses over 20 years of academic experience and has served in various reputed engineering institutions including SRM Institute of Science and Technology, RMK Engineering College, and Easwari Engineering College.

Her areas of expertise include oscillation criteria, nonlinear delay equations, asymptotic behavior of difference equations, neutral differential equations, and mathematical modeling techniques.

Academic Experience

  • Assistant Professor (Senior Grade), Easwari Engineering College, Chennai (2019 – Present).
  • Assistant Professor, SRM Institute of Science and Technology, Ramapuram (2011 – 2019).
  • Assistant Professor, R.M.K. Engineering College (2006 – 2011).
  • Lecturer, Meenakshi Sundararajan Engineering College (2004 – 2006).
  • Lecturer, Jayam College of Engineering and Technology (2002 – 2004).
  • Participated in 31 Faculty Development Programs, 7 workshops, and multiple international conferences.

Research Contributions

The major research contributions of K.S. Vidhyaa involve nonlinear oscillation theory, differential equations, neutral equations, and delay difference equations. Her work provides improved oscillation criteria and asymptotic solutions for higher-order nonlinear systems.

She has extensively investigated third-order nonlinear delay difference equations, second-order non-canonical equations, half-linear neutral differential equations, and asymptotic behavior of oscillatory systems. Her mathematical models and theoretical derivations contribute significantly to the field of advanced mathematical analysis.

Her collaborative research with internationally recognized mathematicians further strengthens the impact of her scholarly contributions in mathematical sciences and dynamical systems research.

Selected Publications

  • Oscillation Criteria for Non-Canonical Second-Order Nonlinear Delay Difference Equations with A Superlinear Neutral Term, Electronic Journal of Differential Equations, 2023.
  • Some Improved Solutions of Quasilinear Neutral Difference Equations, AIP Conference Proceedings, 2022.
  • Oscillation of noncanonical second-order advanced differential equations via canonical transform, Constructive Mathematical Analysis, 2022.
  • Oscillatory Behavior Of Second-Order Non-Canonical Retarded Difference Equations, Australian Journal of Mathematical Analysis and Applications, 2021.
  • New Oscillation Results for Third-Order Half-Linear Neutral Differential Equations, Mathematics, 2020.
  • Oscillation Theorems for Third order nonlinear delay difference equations, Mathematica Bohemica, 2019.
  • Existence of Nonoscillatory Solutions to Third Order Nonlinear Neutral Difference Equations, Filomat, 2018.
  • Asymptotic Behavior of Third Order Delay Difference Equations with Positive and Negative Terms, International Journal of Pure and Applied Mathematics, 2017.

Professional Achievements

  • Received Best Paper Award at ICMTA 2019 held at SRM Institute of Science and Technology.
  • Published books titled Probability and Number Theory and Algebra and Number Theory Workbook.
  • Completed multiple NPTEL and Coursera online certification programs with Elite and Elite+Silver grades.
  • Reviewer for journals including Non-Autonomous Dynamical System and Asian Journal of Mathematics.
  • Published patent titled Prediction of Vacant Parking Spaces in Multiple Parking Lots with Intelligent IoT Systems.
  • Life member of the Ramanujan Mathematical Society.
  • Applied for SERB POWER funded research projects.

Patent & Innovation

K.S. Vidhyaa published a patent titled Prediction of Vacant Parking Spaces in Multiple Parking Lots with Intelligent IoT Systems in 2023. The innovation demonstrates interdisciplinary application of mathematical modeling, intelligent systems, and modern computational technologies for smart infrastructure management.

Research Impact

K.S. Vidhyaa’s research cntributions have strengthened the field of oscillation theory and nonlinear mathematical analysis. Her publications in reputed SCI and Scopus-indexed journals reflect consistent scholarly excellence and international research collaboration.

Her work on nonlinear differential equations and delay difference equations contributes to theoretical advancements with applications in engineering systems, dynamical modeling, and computational mathematics. Through teaching, mentoring, publications, and academic administration, she has contributed significantly to mathematics education and research.

Award Suitability

K.S. Vidhyaa’s academic and research profile strongly aligns with the objectives of the Research Excellence Award under the Indian Scientist Awards framework. Her extensive contributions in mathematical sciences, oscillation theory, and nonlinear differential equations demonstrate strong theoretical innovation and academic excellence.

Her SCI and Scopus-indexed publications, patent contribution, conference presentations, teaching excellence, and active involvement in research and academic development collectively establish her suitability for recognition in advanced mathematical sciences research.

Conclusion

K.S. Vidhyaa is an accomplished mathematician, educator, and researcher whose scholarly work significantly contributes to oscillation theory, differential equations, and advanced mathematical analysis. Through research publications, academic leadership, patents, teaching, and interdisciplinary mathematical innovation, she continues to advance mathematical sciences at national and international levels.

References

    1. E.T.K.S.V. C. Dharuman, John R. Graef. Oscillation of Second Order Difference Equation with a Sub-linear Neutral Term. Journal of Mathematics and Applications, 59–67, 2017.
      https://doi.org/10.7153/jma-2017-47-06
    2. R. Chandel et al. Phytochemical improvement of sand pear cubes through impregnation of spices and tea extract. Sustainable Food Technology, 2026.
      https://pubs.rsc.org/en/content/articlelanding/2026/fb/d5fb00461f
    3. K.S. Vidhyaa, John R. Graef, E. Thandapani. New Oscillation Results for Third-Order Half-Linear Neutral Differential Equations. Mathematics, 8(3), 325, 2020.
      https://doi.org/10.3390/math8030325
K.S. Vidhyaa | Food Science and Technology | Innovative Research Award

You May Also Like