Generalized differential equations: Differentiability of solutions with respect to initial conditions and parameters

a comparison of teachers and supervisors, with respect to teacher efficacy and reflection

supervisors play an undeniable role in training teachers, before starting their professional experience by preparing them, at the initial years of their teaching by checking their work within the proper framework, and later on during their teaching by assessing their progress. but surprisingly, exploring their attributes, professional demands, and qualifications has remained a neglected theme i...

On existence of strong solutions to stochastic equations with Lévy noise and differentiability with respect to initial condition

is a finite sum and always exists. So there will be no other restrictions on b2 (moreover, the general case reduces to that of b2 = 0), but the conditions on other coefficients are important and will be given below. If the coefficients in equation (1.1) are sufficiently regular, then it is known that there exists a unique strong solution to this equation. The goal of this paper is to prove an e...

Solution of the first order fuzzy differential equations with generalized differentiability

In this paper, we study first order linear fuzzy differential equations with fuzzy coefficient and initial value. We use the generalized differentiability concept and apply the exponent matrix to present the general form of their solutions. Finally, one example is given to illustrate our results.

Numerical Solution of Interval Differential Equations with Generalized Hukuhara Differentiability

Stability with Respect to Initial Time Difference for Generalized Delay Differential Equations

Stability with initial data difference for nonlinear delay differential equations is introduced. This type of stability generalizes the known concept of stability in the literature. It gives us the opportunity to compare the behavior of two nonzero solutions when both initial values and initial intervals are different. Several sufficient conditions for stability and for asymptotic stability wit...