RUS  ENG
Full version
JOURNALS // Algebra i Analiz

Algebra i Analiz, 2015, Volume 27, Issue 2, Pages 83–95 (Mi aa1426)

Method of oscillation and spectral problem for four-order differential operator with self-similar weight
A. A. Vladimirov

References

1. Vladimirov A. A., Sheipak I. A., “O zadache Neimana dlya uravneniya Shturma–Liuvillya s samopodobnym vesom kantorovskogo tipa”, Funkts. anal. i ego pril., 47:4 (2013), 18–29  mathnet  crossref  mathscinet  zmath  elib
2. Rofe-Beketov F. S., Kholkin A. M., Spektralnyi analiz differentsialnykh operatorov. Svyaz spektralnykh i ostsillyatsionnykh svoistv, Priazov. gos. tekhn. un-t, Mariupol, 2001
3. Gantmakher F. R., Krein M. G., Ostsillyatsionnye matritsy i yadra i malye kolebaniya mekhanicheskikh sistem, GITTL, M.–L., 1950
4. Leighton W., Nehari Z., “On the oscillation of solutions of self-adjoint linear differential equations of the fourth order”, Trans. Amer. Math. Soc., 89 (1958), 325–377  crossref  mathscinet
5. Nazarov A. I., “Logarifmicheskaya asimptotika malykh uklonenii dlya nekotorykh gaussovskikh protsessov v $L_2$-norme otnositelno samopodobnoi mery”, Zap. nauch. semin. POMI, 311, 2004, 190–213  mathnet  mathscinet  zmath
6. Vladimirov A. A., “O skhodimosti posledovatelnostei obyknovennykh differentsialnykh operatorov”, Mat. zametki, 75:6 (2004), 941–943  mathnet  crossref  mathscinet  zmath
7. Naimark M. A., Lineinye differentsialnye operatory, Nauka, M., 1969  mathscinet


© Steklov Math. Inst. of RAS, 2025