Mathematicians finally understand the behavior of an important class of differential equations that describe everything from ...

Abstract: The solution of most nonlinear control problems hinges upon the solvability of partial differential equations or inequalities. In particular, disturbance attenuation and optimal control ...

Maths Class 12 Differential Equations MCQs: The Central Board of Secondary Education conducts the annual board exams for class 12, which are considered among the most important for students. The ...

Abstract: The solvability of a delay differential equation arising in the construction of quadratic cost functionals, i.e., Lyapunov functionals, for a linear time-delay system with a constant and a ...

Differential equations are the backbone of mathematical modeling, describing relationships between a function and its derivatives. They appear everywhere, from physics and engineering to economics and ...

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The fractional-order nonlinear Gardner and Cahn–Hilliard equations are often used to model ultra-short burst beams of light, complex fields of optics, photonic transmission systems, ions, and other ...