Application of a theorem of Earle and Hamilton to the theory of scattering and transport

• Autorzy: Redheffer R.
• Języki publikacji: EN

Słowa kluczowe

EN

fixed-point theorems; differential equations; holomorphic mappings

PL

twierdzenie o punkcie stałym; równania różniczkowe; odwzorowanie holomorficzne

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2005
• Tom: Vol. 38, nr 1
• Strony: 59--68
• Opis fizyczny: Bibliogr. 8 poz.

Twórcy

autor

Redheffer R.

• Department of Mathematics, University of California, Los Angeles, CA 90095-1555, USA

Bibliografia

• [1] V. Ambarzumian, Diffuse reflection of light by a foggy medium, Comptes Rend. Acad. Sci. URSS 38 (1943) 229-232.
• [2] S. Chandrasekhar, Radiative Transfer, Oxford Univ. Press, N.Y. (1950).
• [3] G. J. Earle and S. R. Hamilton, A fixed-point theorem for-holomorphic-mappings, Global Analysis, Proc. Symp. Pure Math. XVI Berkeley (1968), 61-65.
• [4] R. M. Redheffer, Inequalities for a matrix Riccati equation, J. Math. Mech. 8 (1959), 349-367.
• [5] R. M. Redheffer, On a certain linear fractional transformation, J. Math. Phys., 39 (1960), 269-286.
• [6] R. M. Redheffer, On the relation of transmission-line theory to scattering and transfer, J. Math. Phys., 41 (1962), 1-41.
• [7] R. M . Redheffer and A. P. Wang, Formal properties of time-dependent scattering processes, J. Math. Mech. 19 (1970), 765-781.
• [8] W. T. Reid, Properties of solutions of a Riccati matrix differential equation, J. Math. Mech. 9 (1960), 749-770.