Most of the attention has been given to idempotent models, which exist for all the feasible orders v, where v≡0,1(mod4) except for v= 5,9.
Among other things, we provide a necessary and sufficient condition on the initial data in order that the solution exist for all time and remain non-negative.
For large v, every strongly regular graph with these parameters is the block graph of a Steiner triple system, but exceptions exist for small orders.
For stable distributions, the moments only exist for the order lesser than the characteristic exponent [6], i.e., for impulsive noise, second-order moments do not exist.
Indeed, no proofs of nonlinear entropy stability currently exist for high-order weighted essentially nonoscillatory (WENO) finite volume or weak-form finite element methods.
Now several criteria for Equation (1.1) can now be obtained from known oscillation criteria that already exist for second-order dynamic equations.
However, the authors of studies in Refs. [93 95] suggest that exact periodic solutions do not exist for fractional order differential equations systems.
However, very few general structure property relations exist for higher-order multiphoton absorption properties, although some interesting observations have been made in the case of three-photon absorption.
In this paper we prove that group divisible 3-designs exist for sufficiently large order with a fixed number of groups, fixed block size and index one, assuming that the necessary arithmetic conditions are satisfied.
The candidate super PACs are "undermining and in the process of eviscerating the contribution limits that exist for candidates in order to protect against corruption".
