Co-solutions of algebraic matrix equations and higher order singular regular boundary value problems
Applications of Mathematics, Tome 39 (1994) no. 3, pp. 189-202.
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In this paper we obtain existence conditions and a closed form of the general solution of higher order singular regular boundary value problems. The approach is based on the concept of co-solution of algebraic matrix equations of polynomial type that permits the treatment of the problem without considering an extended first order system as it has been done in the known literature.
DOI :
10.21136/AM.1994.134252
Classification :
34A08, 34B10
Mots-clés : algebraic matrix equation; co-solution; singular regular system; boundary value problem; Drazin inverse; closed form solution
Mots-clés : algebraic matrix equation; co-solution; singular regular system; boundary value problem; Drazin inverse; closed form solution
@article{10_21136_AM_1994_134252, author = {J\'odar, Lucas and Navarro, Enrique}, title = {Co-solutions of algebraic matrix equations and higher order singular regular boundary value problems}, journal = {Applications of Mathematics}, pages = {189--202}, publisher = {mathdoc}, volume = {39}, number = {3}, year = {1994}, doi = {10.21136/AM.1994.134252}, mrnumber = {1273632}, zbl = {0814.34014}, language = {en}, url = {https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1994.134252/} }
TY - JOUR AU - Jódar, Lucas AU - Navarro, Enrique TI - Co-solutions of algebraic matrix equations and higher order singular regular boundary value problems JO - Applications of Mathematics PY - 1994 SP - 189 EP - 202 VL - 39 IS - 3 PB - mathdoc UR - https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1994.134252/ DO - 10.21136/AM.1994.134252 LA - en ID - 10_21136_AM_1994_134252 ER -
%0 Journal Article %A Jódar, Lucas %A Navarro, Enrique %T Co-solutions of algebraic matrix equations and higher order singular regular boundary value problems %J Applications of Mathematics %D 1994 %P 189-202 %V 39 %N 3 %I mathdoc %U https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1994.134252/ %R 10.21136/AM.1994.134252 %G en %F 10_21136_AM_1994_134252
Jódar, Lucas; Navarro, Enrique. Co-solutions of algebraic matrix equations and higher order singular regular boundary value problems. Applications of Mathematics, Tome 39 (1994) no. 3, pp. 189-202. doi : 10.21136/AM.1994.134252. https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1994.134252/
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