Quasilinearization of Resonant Boundary-value Problems with Mixed Boundary Conditions

Verfasser / Beitragende:
[N. Sveikate, F. Sadyrbaev]
Ort, Verlag, Jahr:
2015
Enthalten in:
Journal of Mathematical Sciences, 205/6(2015-03-01), 832-847
Format:
Artikel (online)
ID: 605521859
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024 7 0 |a 10.1007/s10958-015-2287-7  |2 doi 
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245 0 0 |a Quasilinearization of Resonant Boundary-value Problems with Mixed Boundary Conditions  |h [Elektronische Daten]  |c [N. Sveikate, F. Sadyrbaev] 
520 3 |a We consider resonant problems of the form (i) x″ + p(t)x′ + q(t)x = f(t, x, x′), (ii) x′(0) = 0, x(T) = 0, where p, q, and f are continuous functions, and a homogeneous problem (iii) x″ + p(t)x′ + q(t)x = 0 with the boundary conditions (ii), which has a nontrivial solution. The problem is studied by modifying the linear part and applying the procedure of quasilinearization to the modified problem. 
540 |a Springer Science+Business Media New York, 2015 
700 1 |a Sveikate  |D N.  |u Daugavpils University, LV 5401, Parades str., 1, Daugavpils, Latvia  |4 aut 
700 1 |a Sadyrbaev  |D F.  |u University of Latvia, LV 1586, Raina blvd., 19, Riga, Latvia  |4 aut 
773 0 |t Journal of Mathematical Sciences  |d Springer US; http://www.springer-ny.com  |g 205/6(2015-03-01), 832-847  |x 1072-3374  |q 205:6<832  |1 2015  |2 205  |o 10958 
856 4 0 |u https://doi.org/10.1007/s10958-015-2287-7  |q text/html  |z Onlinezugriff via DOI 
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900 7 |a Metadata rights reserved  |b Springer special CC-BY-NC licence  |2 nationallicence 
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950 |B NATIONALLICENCE  |P 700  |E 1-  |a Sveikate  |D N.  |u Daugavpils University, LV 5401, Parades str., 1, Daugavpils, Latvia  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Sadyrbaev  |D F.  |u University of Latvia, LV 1586, Raina blvd., 19, Riga, Latvia  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Journal of Mathematical Sciences  |d Springer US; http://www.springer-ny.com  |g 205/6(2015-03-01), 832-847  |x 1072-3374  |q 205:6<832  |1 2015  |2 205  |o 10958