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Sturm-Liouville theory for ordinary quasilinear fourth-order equations

Citace: [] BENEDIKT, J. Sturm-Liouville theory for ordinary quasilinear fourth-order equations. Orlando, FL, 2004.
Druh: PŘEDNÁŠKA, POSTER
Jazyk publikace: eng
Anglický název: Sturm-Liouville theory for ordinary quasilinear fourth-order equations
Rok vydání: 2004
Místo konání: Orlando, FL
Autoři: Jiří Benedikt
Abstrakt EN: The lecture was devoted to the study of the initial and boundary value problems for ordinary higher-order quasilinear equations. First we discussed existence and uniqueness of the solution of the 2nth-order quasilinear initial value problems. Then we were interested in simplicity, positivity and discreteness of spectra of the corresponding fourth-order boundary value problems. Finally, we established a global bifurcation result for a perturbed equation, and an existence theorem in nonresonance.
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