A method of reducing an infinite-dimensional problem to a finite number of modes, facilitating the analysis of complex dynamical behaviours. Blow-Up Solutions In Semilinear Heat Equations ...

Abstract: This letter addresses optimal controller design for periodic linear time-varying systems under unknown-but-bounded disturbances. We introduce differential Lyapunov-type equations to ... that ...

when working with algebraic equations and inequations it is key to change operation when you change side. Practice working with linear equations and inequations ahead of your National 5 Maths exam ...

Download the CBSE Class 11 Maths Syllabus 2025-26 PDF for free. Check the updated course structure, topics, and marking scheme for the new academic session. Stay exam-ready!

Abstract: We describe a framework for solving a broad class of infinite-dimensional linear equations, consisting of almost banded operators, which can be used to representing linear ordinary ...

As objects approach the speed of light (approximately 186,282 miles per second or 300,000 km/s), their mass effectively becomes infinite ... whose equations required that electromagnetic waves ...

Through these equations we learn the types of problems, how we pose the problems, and the methods of solutions such as the separation of variables and the method of characteristics. The modeling ...

The construction of singular solutions is delicate and cannot be done without the understanding of the spherical p-harmonic eigenvalue problem. When the equations are considered on a Riemannian ...