Silant’ev, N. A.; Alexeeva, G. A. Radiative transfer in a semi-infinite plane parallel atmosphere with an inhomogeneous source function. (English) Zbl 1130.85325 Astrophys. Space Sci. 312, No. 3-4, 239-260 (2007). MSC: 85A25 85A15 PDF BibTeX XML Cite \textit{N. A. Silant'ev} and \textit{G. A. Alexeeva}, Astrophys. Space Sci. 312, No. 3--4, 239--260 (2007; Zbl 1130.85325) Full Text: DOI
Amosov, Andrey; Panasenko, Grigory Asymptotic analysis and asymptotic domain decomposition for an integral equation of the radiative transfer type. (English) Zbl 1089.45004 J. Math. Pures Appl., IX. Sér. 84, No. 12, 1813-1831 (2005). Reviewer: Neville Ford (Chester) MSC: 45M05 45B05 85A25 PDF BibTeX XML Cite \textit{A. Amosov} and \textit{G. Panasenko}, J. Math. Pures Appl. (9) 84, No. 12, 1813--1831 (2005; Zbl 1089.45004) Full Text: DOI
Shore, Steven N. Blue sky and hot piles: The evolution of radiative transfer theory from atmospheres to nuclear reactors. (English) Zbl 1013.01008 Hist. Math. 29, No. 4, 463-489 (2002). Reviewer: A.Kleinert (Halle) MSC: 01A60 85-03 80A20 85A25 82D75 PDF BibTeX XML Cite \textit{S. N. Shore}, Hist. Math. 29, No. 4, 463--489 (2002; Zbl 1013.01008) Full Text: DOI
Kalaba, Robert E.; Natsuyama, Harriet H.; Ueno, Sueo Photon diffusion and invariant imbedding. (English) Zbl 1017.85002 Appl. Math. Comput. 116, No. 1-2, 49-59 (2000). MSC: 85A25 45B05 65R20 PDF BibTeX XML Cite \textit{R. E. Kalaba} et al., Appl. Math. Comput. 116, No. 1--2, 49--59 (2000; Zbl 1017.85002) Full Text: DOI
Kailath, T. Remarks on the origin of the displacement-rank concept. (English) Zbl 0742.65101 Appl. Math. Comput. 45, No. 2, 193-206 (1991). Reviewer: L.Hacia (Poznań) MSC: 65R20 65L10 65-03 01A65 45E10 34B15 PDF BibTeX XML Cite \textit{T. Kailath}, Appl. Math. Comput. 45, No. 2, 193--206 (1991; Zbl 0742.65101) Full Text: DOI
Ueno, S. Cauchy system for Fredholm resolvents with composite displacement kernels. (English) Zbl 0419.65089 J. Optimization Theory Appl. 32, 451-461 (1980). MSC: 65R20 45B05 45K05 PDF BibTeX XML Cite \textit{S. Ueno}, J. Optim. Theory Appl. 32, 451--461 (1980; Zbl 0419.65089) Full Text: DOI
Desai, Uday B.; Sidhu, Gursharan S. A method of orthogonal directions. III: Estimation algorithms of Chandrasekhar and Cholesky types for discrete-time, nonconstant models. (English) Zbl 0379.93041 J. Math. Anal. Appl. 61, 797-812 (1977). MSC: 93E10 93C99 93C55 PDF BibTeX XML Cite \textit{U. B. Desai} and \textit{G. S. Sidhu}, J. Math. Anal. Appl. 61, 797--812 (1977; Zbl 0379.93041) Full Text: DOI
Elcrat, Alan; Sigillito, Vincent G. Coercivity for a third order pseudoparabolic operator with applications to semilinear equations. (English) Zbl 0369.35029 J. Math. Anal. Appl. 61, 841-849 (1977). MSC: 35K35 35S15 35B45 35B05 PDF BibTeX XML Cite \textit{A. Elcrat} and \textit{V. G. Sigillito}, J. Math. Anal. Appl. 61, 841--849 (1977; Zbl 0369.35029) Full Text: DOI
Ueno, Sueo Generalized Sobolev’s phi function for the resolvent of a Milne-type integral equation with a degenerate kernel. (English) Zbl 0346.45003 J. Math. Anal. Appl. 54, 538-546 (1976). MSC: 45A05 65R20 47B06 47B10 PDF BibTeX XML Cite \textit{S. Ueno}, J. Math. Anal. Appl. 54, 538--546 (1976; Zbl 0346.45003) Full Text: DOI
Matsumoto, Masamichi The exact solution of the time-dependent equation of radiative transfer in a semi-infinite atmosphere. (English) Zbl 0944.85501 J. Math. Anal. Appl. 53, 403-417 (1976); erratum 56, No. 2, 494 (1976). MSC: 85A25 85A20 PDF BibTeX XML Cite \textit{M. Matsumoto}, J. Math. Anal. Appl. 53, 403--417 (1976; Zbl 0944.85501) Full Text: DOI
Sidhu, Gursharan Singh; Casti, John L. A rapprochement of the theories of radiative transfer and linear stochastic estimation. (English) Zbl 0339.93029 Appl. Math. Comput. 1, 295-323 (1975). MSC: 93E10 62M10 PDF BibTeX XML Cite \textit{G. S. Sidhu} and \textit{J. L. Casti}, Appl. Math. Comput. 1, 295--323 (1975; Zbl 0339.93029) Full Text: DOI
Bellman, R.; Fymat, A. L.; Ueno, S.; Vasudevan, R. Invariant imbedding and radiation dosimetry. IX: Inverse problem of determining a plane source in a finite isotropically scattering target slab. (English) Zbl 0291.92009 Math. Biosci. 20, 315-325 (1974). MSC: 92B05 PDF BibTeX XML Cite \textit{R. Bellman} et al., Math. Biosci. 20, 315--325 (1974; Zbl 0291.92009) Full Text: DOI
Jakubik, J.; Kolibiar, M. Zum 60. Geburtstag von Akademiemitglied Stefan Schwarz. (Slovak) Zbl 0276.01030 Mat. Čas., Slovensk. Akad. Vied 24, 99-111 (1974). MSC: 01A70 PDF BibTeX XML Cite \textit{J. Jakubik} and \textit{M. Kolibiar}, Mat. Čas., Slovensk. Akad. Vied 24, 99--111 (1974; Zbl 0276.01030) Full Text: EuDML
Bellman, R.; Ueno, S.; Vasudevan, R. Invariant imbedding and radiation dosimetry. IV: Finite order scattering of gamma radiation by a target slab. (English) Zbl 0272.92004 Math. Biosci. 17, 89-104 (1973). MSC: 92B05 PDF BibTeX XML Cite \textit{R. Bellman} et al., Math. Biosci. 17, 89--104 (1973; Zbl 0272.92004) Full Text: DOI
Casti, J.; Tse, E. Optimal linear filtering theory and radiative transfer: Comparisons and interconnections. (English) Zbl 0251.93026 J. Math. Anal. Appl. 40, 45-54 (1972). MSC: 93E10 94A15 PDF BibTeX XML Cite \textit{J. Casti} and \textit{E. Tse}, J. Math. Anal. Appl. 40, 45--54 (1972; Zbl 0251.93026) Full Text: DOI
Trombetti, Tullio On a singular integral equation in the theory of radiative transfer. (English) Zbl 0228.45003 Meccanica 6, 119-124 (1971). MSC: 45E99 85A25 PDF BibTeX XML Cite \textit{T. Trombetti}, Meccanica 6, 119--124 (1971; Zbl 0228.45003) Full Text: DOI
McNabb, A.; Schumitzky, A. Factorization of operators. II: A nonlinear Volterra method for numerical solution of linear Fredholm equations. (English) Zbl 0212.18103 J. Comput. Syst. Sci. 4, 103-128 (1970). MSC: 65R20 45B05 47A68 47A53 PDF BibTeX XML Cite \textit{A. McNabb} and \textit{A. Schumitzky}, J. Comput. Syst. Sci. 4, 103--128 (1970; Zbl 0212.18103) Full Text: DOI
Casti, J.; Kalaba, R. Proof of the basic invariant imbedding method for Fredholm integral equations with deplacement kernels. I, II. (English) Zbl 0209.13501 Inf. Sci. 2, 51-67, 69-76 (1970). MSC: 45B05 PDF BibTeX XML Cite \textit{J. Casti} and \textit{R. Kalaba}, Inf. Sci. 2, 51--67, 69--76 (1970; Zbl 0209.13501) Full Text: DOI
Kagiwada, H. H.; Kalaba, R. E.; Schumitzky, A. An initial-value method for Fredholm integral equations with displacement kernels: Reflection functions. (English) Zbl 0195.12002 Calcolo 5, 63-72 (1968). MSC: 45B05 PDF BibTeX XML Cite \textit{H. H. Kagiwada} et al., Calcolo 5, 63--72 (1968; Zbl 0195.12002) Full Text: DOI
Kagiwada, H.; Kalaba, R.; Schumitzky, A. Differential systems for eigenvalues of Fredholm integral equations. (English) Zbl 0172.20303 J. Math. Anal. Appl. 23, 227-234 (1968). PDF BibTeX XML Cite \textit{H. Kagiwada} et al., J. Math. Anal. Appl. 23, 227--234 (1968; Zbl 0172.20303) Full Text: DOI
Kagiwada, H. H.; Kalaba, R. E. Verification of the invariant imbedding method for certain Fredholm integral equations. (English) Zbl 0165.13402 J. Math. Anal. Appl. 23, 540-550 (1968). PDF BibTeX XML Cite \textit{H. H. Kagiwada} and \textit{R. E. Kalaba}, J. Math. Anal. Appl. 23, 540--550 (1968; Zbl 0165.13402) Full Text: DOI
Kagiwada, H. H.; Kalaba, R. E.; Schumitzky, A. An initial-value method for Fredholm integral equations. (English) Zbl 0202.46102 J. Math. Anal. Appl. 19, 197-203 (1967). PDF BibTeX XML Cite \textit{H. H. Kagiwada} et al., J. Math. Anal. Appl. 19, 197--203 (1967; Zbl 0202.46102) Full Text: DOI
Bellman, R.; Kagiwada, H.; Kalaba, R.; Ueno, S. Numerical results for the estimation of source distributions from external radiation-field measurements. (English) Zbl 0166.13101 J. Comput. Phys. 1, 457-470 (1967). PDF BibTeX XML Cite \textit{R. Bellman} et al., J. Comput. Phys. 1, 457--470 (1967; Zbl 0166.13101) Full Text: DOI
Kagiwada, H.; Kalaba, R. E. Initial-value methods for the basic boundary-value problem and integral equation of radiative transfer. (English) Zbl 0149.37001 J. Comput. Phys. 1, 322-329 (1967). PDF BibTeX XML Cite \textit{H. Kagiwada} and \textit{R. E. Kalaba}, J. Comput. Phys. 1, 322--329 (1967; Zbl 0149.37001) Full Text: DOI
Vejvoda, O. Periodic solution of a linear and weakly nonlinear wave equation in one dimension. I. (English) Zbl 0178.45302 Czech. Math. J. 14(89), 341-382 (1964). PDF BibTeX XML Cite \textit{O. Vejvoda}, Czech. Math. J. 14(89), 341--382 (1964; Zbl 0178.45302) Full Text: EuDML
Cenkl, Bohumil L’equation de structure d’un espace à connexion projective. (French) Zbl 0139.39602 Czech. Math. J. 14(89), 79-94 (1964). PDF BibTeX XML Cite \textit{B. Cenkl}, Czech. Math. J. 14(89), 79--94 (1964; Zbl 0139.39602) Full Text: EuDML
Havel, V. Über die begleitenden Normaldreibeine der Fläche \({\mathcal A}_{0,3}^ 2\). I. (German) Zbl 0133.15301 Czech. Math. J. 13(88), 327-334 (1963). PDF BibTeX XML Cite \textit{V. Havel}, Czech. Math. J. 13(88), 327--334 (1963; Zbl 0133.15301) Full Text: EuDML
Schwarz, Štefan Subsemigroups of simple semigroups. (English) Zbl 0122.02402 Czech. Math. J. 13(88), 226-239 (1963). Reviewer: M. Yamada MSC: 20M10 PDF BibTeX XML Cite \textit{Š. Schwarz}, Czech. Math. J. 13(88), 226--239 (1963; Zbl 0122.02402) Full Text: EuDML
Havelka, J. Sur une généralisation de la normale affine. (French) Zbl 0119.17301 Czech. Math. J. 13(88), 240-266 (1963). PDF BibTeX XML Cite \textit{J. Havelka}, Czech. Math. J. 13(88), 240--266 (1963; Zbl 0119.17301) Full Text: EuDML
Cenkl, Bohumil La normale d’une surface dans l’espace à connexion projective. (French) Zbl 0129.14303 Czech. Math. J. 12(87), 582-606 (1962). PDF BibTeX XML Cite \textit{B. Cenkl}, Czech. Math. J. 12(87), 582--606 (1962; Zbl 0129.14303) Full Text: EuDML
Teodorescu, P. P. Sur le problème du quart de plan élastique. (French) Zbl 0104.40406 Apl. Mat. 6, 359-378 (1961). PDF BibTeX XML Cite \textit{P. P. Teodorescu}, Apl. Mat. 6, 359--378 (1961; Zbl 0104.40406) Full Text: EuDML