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Francisco Mendes de Oliveira Castro

Francisco Mendes de Oliveira Castro, Brazilian mathematician (Petrópolis, Rio de Janeiro 19 May 1902 – Rio de Janeiro 30 May 1993)

Brother of biologist Gustavo Mendes de Oliveira Castro


Solved the Volterra integral equation using iterated nuclei method that earned him world renown

Zur theorie der dielektrischen Nachwirkung . Z. Physik Sonderabdruck 114(1-2):116-26, 1939

Solved the Schrödinger equation for harmonic oscillator in finite differences

Showed that random distribution of nucleons under interactions is ruled by Poisson distribution

Poisson statistics and the diffusion-equation of nucleons and charged pions in the atmosphere. An. Acad. Bras. Ciencias 49, 1977

With H.M. Portella & N. Arata. Exact solution of the diffusion equation of cosmic-ray nucleons with rising cross section 

With C. Lattes, N.M. Amato, W.A. Rodrigues Jr., J.B. Filho, J.L. Cardoso, J.A. Chinellato, Y. Fujimoto & N. Arata. New type of nuclear interaction in the Σ Eγ ≥1014 eV Region. AIP Conf. Proc. 49, 1978

With H.M. Portella, N.M. Amato & R.C.H. Maldonado. An alternative method to solve the hadronic cosmic-ray diffusion equations: the muon and neutrino fluxes. J. Phys. A Math.Gen. 27:539-45, 1994