More Differential Equations

Mechanical Engineering is more than Differential Equations

In their paper, ”Prolegomena to Any Future Qualitative Physics,” Elisha Sacks and Jon Doyle raise interesting points regarding the applicability of qualitative reasoning to solving practical engineering problems. They criticize in particular a line of research which they identify by the letters SPQR: the qualitative simulation of processes described by a set of differential equations. While man...

More on Asymptotic Approximation for Matrix Differential Equations

This work considers the matrix differential equation Y Y s A t Y , 1.1 Ž . Ž . Ž . where A t is a hermitian, n = n matrix function, invertible and analytic Ž . on a, ` . For the analogous scalar equation, y s a t y , 1.2 Ž . Ž . Ž . there exists under suitable assumptions the Liouville]Green L-G, WKB y1r4 Ž 1r2 . approximation y f a exp "Ha . Improvements to the L-G approxiw x mations were soug...

Random fractional functional differential equations

In this paper, we prove the existence and uniqueness results to the random fractional functional differential equations under assumptions more general than the Lipschitz type condition. Moreover, the distance between exact solution and appropriate solution, and the existence extremal solution of the problem is also considered.

Solution of fuzzy differential equations

Hybrid system is a dynamic system that exhibits both continuous and discrete dynamic behavior‎. ‎The hybrid differential equations have a wide range of applications in science and engineering‎. ‎The hybrid systems are devoted to modeling‎, ‎design‎, ‎and validation of interactive systems of computer programs and continuous systems‎. ‎Hybrid fuzzy differential equations (HFDEs) is considered by ...

Fuzzy Local Fractional Differential Equations