Phase Space Analysis of Reactor Kinetics

Oscillatory and asymptotic properties of third-order quasilinear delay differential equations

“…From Lemma 3, we have 21) which implies that w ≥ 0 on [t 1 , ∞). Differentiating (3.20) and using (1.1) and the definition of w, we obtain…”

“…The first step in this direction was taken by J. Bernoulli in 1696 who formulated the famous isoperimetric problem and, five years later, gave the solution that depends upon a third-order differential equation [8]. Since then, these equations have shown to be particularly important in the modeling of several physical phenomena, including the interactions between charged particles, in an external electromagnetic field [21], the entry-flow phenomenon [11], the propagation of action potentials in squid neurons [16] and others.…”

Integral Oscillation Criteria for Third-Order Differential Equations With Delay Argument

“…For instance, such equations are encountered in the study of entry-flow phenomenon [4], the propagation of electrical pulses in the nerve of a squid approximated by the famous Nagumo's equation [10], the feedback nuclear reactor problem [12], the regulation of a steam turbine [8] and so on.…”

Oscillatory Behavior of Three Dimensional α-Fractional Delay Differential Systems

“…In a study [19], Vreeke et al applied the differential systems in the application of physics in order to solve the problem of a nuclear reactor which involved two temperature feedback. In the current literature there are many established results in the oscillation theory of classical differential systems (see [20][21][22][23][24]).…”