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Bibliografická citace

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BK
1st ed.
Brno : Masarykova univerzita, 2004
177 s.

ISBN 80-210-3429-7 (brož.)
Folia Facultatis scientiarium naturalium Universitatis Masarykianae Brunensis. Biologia ; [vol.] 14
Obsahuje předmluvu, úvod
Bibliografie: s. 171-177
Rovnice diferenciální obyčejné - teorie asymptotická - studie
000005860
Contents // Introduction ...7 // Chapter I. ON NONLOCAL EXTEND ABILITY AND BOUNDEDNESS OF SOLUTIONS // § 1. Sufficient conditions for solutions to be nonlocally // extendable and proper ...11 // § 2. Sufficient conditions for the boundedness // of at least one component of the solution ...15 // § 3. Sufficient conditions for at least one component // of the solution not to be tending to zero ...18 // Chapter II. OSCILLATORY PROPERTIES OF PROPER SOLUTIONS // § 4. Theorems on the existence of weakly nonoscillatory // solutions ...21 // § 5. Systems with property Ok ...27 // 5.1. Sufficient conditions for systems to have property Ok ...27 // 5.2. Necessary and sufficient conditions for systems to have property Ok ...33 // § 6. Conditions for the oscillation ...36 // 6.1. Sufficient conditions for the oscillation...36 // 6.2. Necessary and sufficient conditions for the oscillation ...42 // § 7. Conditions for the nonoscillation of all proper // solutions ...47 // § 8. Estimates for the distance between zeros ...52 // Chapter III. OSCILLATORY PROPERTIES OF SOLUTIONS OF THE EMDEN-FOWLER TYPE SYSTEMS // § 9. On proper and bounded solutions ...63 // § 10. Comparison theorems and some applications ...66 // 10.1. Comparison theorems ...66 // 10.2. Some applications of the comparison theorem ...75 // §11. Necessary and sufficient conditions for the oscillation // of all proper solutions...84 // 11.1. Conditions for the oscillation in the case, where K1K2 =...1 ...85 // 11.2.
Conditions for the oscillation in the case, where K1K2 ф...1 ...87 // § 12. Sufficient conditions for the oscillation of all // proper solutions ...89 // 12.1. Sufficient conditions for the oscillation in the case, // where K1K2 = 1 ...89 // 12.2. Sufficient conditions for the oscillation in the case, // where A1A2 ф 1 ...100 // § 13. Sufficient conditions for the existence of at least // one oscillatory solution ...113 // § 14. Sufficient conditions for the nonoscillation of all // proper solutions ...119 // 14.1. Analogues of the F. V. Atkinson and I. W. Heidel theorems .. 119 // 14.2. Analogue of the I. T. Kiguradze theorem ...122 // Chapter IV. ASYMPTOTIC BEHAVIOUR OF PROPER SOLUTIONS OF THE EMDEN-FOWLER TYPE SYSTEMS // §15. Principal and nonprincipal solutions of systems // with A1A2 = 1 ...127 // § 16. Existence theorems for proper and singular // solutions ...143 // § 17. Asymptotics of proper solutions ...153 // 17.1. Asymptotic representations for nonoscillatory solutions...153 // 17.2. Asymptotic representations for oscillatory solutions ...161 // Conclusion...170 // References // 171

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