In a second step, we go back to our seminal convolution equation (70) and we multiply each side by the power (T^{k_{2}+1}) which transforms it into (121).
In parallel to the work of van Kampen, T. Kurtz derived precise limit theorems connecting sequences of continuous time Markov chains to solutions of systems of ordinary differential equations; see the seminal studies [19, 20] or the monograph [15].
Whilst the metal oxygen octahedra in LDH phases are widely understood to be squashed – as in the layered single hydroxides – the discussions in the literature regarding the relationship between x and a have nevertheless not progressed since Brindley & Kikkawa's (1979 ▶) seminal paper, i.e. the equations that are reported are always for regular octahedra [equations (18)/(19) and (20)].
As indicated in [16], there has been enormous interest in nonlinear perturbations of linear equations at resonance since the seminal paper of Landesman and Lazer [17]; see [18] for further details.
Interestingly, the seminal study on the cystatin C-based equations published by Inker et al. showed a better performance of the CKD-EPI mix equation to estimate GFR [ 23].
In his seminal book, J. Felsenstein suggested that certain linear equations satisfied by the expected probabilities of patterns observed at the leaves of a phylogenetic tree could be used for model selection.
Nash's research into differential equations at MIT led to his seminal paper "Real Algebraic Manifolds," which was published in Annals of Mathematics in November 1952.
Here, we develop a mathematical model that quantitatively interprets these seminal cancer theories, starting from a set of equations describing the short life cycle of an individual cell in uterine epithelium during tissue regeneration.
It is possible to model this behavior with the Poisson-Boltzmann equation as outlined by Roux in his seminal work on this topic [55].
For the analysis of nonlinear second-order hyperbolic equations with damping, we refer to the seminal work of Lions and Strauss [23]; see also Friedman and Nec̆as [24], and Emmrich and Thalhammer [25, 26].
