Almost automorphic solutions represent a sophisticated generalisation of almost periodic functions and have become an increasingly influential concept in the study of differential equations. These ...

Formal solutions represent series expansions that, while not necessarily convergent in the classical sense, satisfy the governing differential equations term by term. This concept has become ...

NCERT Exemplar problems are a very good resource for preparing the critical questions like Higher Order Thinking Skill (HOTS) questions. Questions provided in the NCERT Exemplar not only make the ...

Partial differential equations (PDEs) lie at the heart of many different fields of Mathematics and Physics: Complex Analysis, Minimal Surfaces, Kähler and Einstein Geometry, Geometric Flows, ...

Studies properties and solutions of partial differential equations. Covers methods of characteristics, well-posedness, wave, heat and Laplace equations, Green's functions, and related integral ...

Inspired by path integral solutions to the quantum relaxation problem, we develop a numerical method to solve classical stochastic differential equations with multiplicative noise that avoids ...