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Dynamics of Second Order Rational Difference Equations - Kulenovic, Mustafa R.S.; Ladas, G.
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Kulenovic, Mustafa R.S.; Ladas, G.:
Dynamics of Second Order Rational Difference Equations - neues Buch

ISBN: 9781584882756

ID: 263168

INTRODUCTION AND CLASSIFICATION OF EQUATION TYPES PRELIMINARY RESULTS Definitions of Stability and Linearized Stability Analysis The Stable Manifold Theorem in the Plane Global Asymptotic Stability of the Zero Equilibrium Global Attractivity of the Positive Equilibrium Limiting Solutions The Riccati Equation Semicycle Analysis LOCAL STABILITY, SEMICYCLES, PERIODICITY, AND INVARIANT INTERVALS Equilibrium Points Stability of the Zero Equilibrium Local Stability of the Positive Equilibrium When is Every Solution Periodic with the same Period? Existence of Prime Period Two Solutions Local Asymptotic Stability of a Two Cycle Convergence to Period Two Solutions when C=0 Invariant Intervals Open Problems and Conjectures (1,1)-TYPE EQUATIONS Introduction The Case a=g=A=B=0: xn+1= b xn/C xn-1 The Case a=b=A=C=0: xn+1=g xn-1/B xn Open Problems and Conjectures (1,2)-TYPE EQUATIONS Introduction The Case b=g=C=0: xn+1= a /(A+ B xn) The Case b=g=A=0: xn+1= a /(B xn+ C xn-1) The Case a=g=B=0: xn+1= b xn/(A + C xn-1) The Case a=g=A=0: xn+1= b xn/(B xn+ C xn-1) The Case a=b=C=0: xn+1= g xn-1/(A+ B xn) The Case a=b=A=0: xn+1= g xn-1/(B xn+ C xn-1) Open Problems and Conjectures (2,1)-TYPE EQUATIONS Introduction The Case g=A=B=0: xn+1=(a + b xn)/(C xn-1) The Case g=A=C=0: xn+1=(a + b xn)/B xn Open Problems and Conjectures (2,2)-TYPE EQUATIONS(2,2)- Type Equations Introduction The Case g=C=0: xn+1=(a + b xn)/(A+ B xn) The Case g=B=0: xn+1=(a + b xn)/(A + C xn-1) The Case g=A=0: xn+1=(a + b xn)/(B xn+ C xn-1) The Case b=C=0: xn+1=(a + g xn-1)/(A+ B xn) The Case b=A=0: xn+1=(a + g xn-1)/(B xn+ C xn-1) The Case a=C=0: xn+1=(b xn+ g xn-1)/(A+ B xn) The Case a=B=0: xn+1=(b xn+ g xn-1)/(A + C xn-1) The Case a=A=0: xn+1=(b xn+ g xn-1)/(B xn+ C xn-1) Open Problems and Conjectures (2,3)-TYPE EQUATIONS Introduction The Case g=0: xn+1=(a + b xn)/(A+ B xn+ C xn-1) The Case b=0: xn+1=(a + g xn-1)/(A+ B xn+ C xn-1) The Case a=0: xn+1=(b xn+ g xn-1)/(A+ B xn+ C xn-1) Open Problems and Conjectures (3,2)-TYPE EQUATIONS Introduction The Case C=0: xn+1=(a + b xn+ g xn-1)/(A+ B xn ) The Case B=0: xn+1=(a + b xn+ g xn-1)/(A+ C xn-1) The Case A=0: xn+1=(a + b xn+ g xn-1)/(B xn+ C xn-1) Open Problems and Conjectures THE (3,3)-TYPE EQUATION The (3,3)- Type Equation: xn+1=(a + b xn+ g xn-1 )/(A+ B xn+ C xn-1) Linearized Stability Analysis Invariant Intervals Convergence Results Open Problems and Conjectures APPENDIX: Global Attractivity for Higher Order Equations BIBLIOGRAPHY Technology Technology eBook, CRC Press

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Dynamics of Second Order Rational Difference Equations - Kulenovic, M. R. S. / Kulenovic, Mustafa R. S. / Ladas, G.
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Kulenovic, M. R. S. / Kulenovic, Mustafa R. S. / Ladas, G.:
Dynamics of Second Order Rational Difference Equations - gebrauchtes Buch

ISBN: 9781584882756

ID: 7178838

This self-contained monograph provides systematic, instructive analysis of second-order rational difference equations. After classifying the various types of these equations and introducing some preliminary results, the authors systematically investigate each equation for semicycles, invariant intervals, boundedness, periodicity, and global stability. Of paramount importance in their own right, the results presented also offer prototypes towards the development of the basic theory of the global behavior of solutions of nonlinear difference equations of order greater than one. The techniques and results in this monograph are also extremely useful in analyzing the equations in the mathematical models of various biological systems and other applications. Each chapter contains a section of open problems and conjectures that will stimulate further research interest in working towards a complete understanding of the dynamics of the equation and its functional generalizations-many of them ideal for research projects or Ph.D. theses. Clear, simple, and direct exposition combined with thoughtful uniformity in the presentation make Dynamics of Second Order Rational Difference Equations valuable as an advanced undergraduate or a graduate-level text, a reference for researchers, and as a supplement to every textbook on difference equations at all levels of instruction. Dynamics of Second Order Rational Difference Equations Kulenovic, M. R. S. / Kulenovic, Mustafa R. S. / Ladas, G., CRC Press

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Dynamics of Second Order Rational Difference Equations: With Open Problems and Conjectures - Kulenovic, Mustafa R.S., Ladas, G
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Kulenovic, Mustafa R.S., Ladas, G:
Dynamics of Second Order Rational Difference Equations: With Open Problems and Conjectures - gebrauchtes Buch

ISBN: 9781584882756

ID: 862312366

Chapman and Hall/CRC. Used - Very Good. Great condition for a used book! Minimal wear. 100% Money Back Guarantee. Shipped to over one million happy customers. Your purchase benefits world literacy!, Chapman and Hall/CRC

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Dynamics of Second Order Rational Difference Equations: With Open Problems and Conjectures - Mustafa R.S. Kulenovic; G. Ladas
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Mustafa R.S. Kulenovic; G. Ladas:
Dynamics of Second Order Rational Difference Equations: With Open Problems and Conjectures - gebunden oder broschiert

2001, ISBN: 9781584882756

ID: 495555633

Chapman and Hall/CRC, 2001-07-30. Hardcover. Very Good. Buy with confidence. Excellent Customer Service & Return policy. Ships Fast. 24*7 Customer Service., Chapman and Hall/CRC, 2001-07-30

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Dynamics of Second Order Rational Difference Equations - Mustafa R. S. Kulenovic; Gerasimos Ladas
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Mustafa R. S. Kulenovic; Gerasimos Ladas:
Dynamics of Second Order Rational Difference Equations - gebunden oder broschiert

2001, ISBN: 9781584882756

ID: 2953495

Hardcover, Buch, [PU: Chapman & Hall/CRC]

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Details zum Buch
Dynamics of Second Order Rational Difference Equations

This self-contained monograph provides systematic, instructive analysis of second-order rational difference equations. Each chapter contains a section of open problems and conjectures, many of them ideal for research projects or Ph.D. theses. The techniques and results in this monograph are extremely useful in analyzing the equations in the mathematical models of various biological systems and other applications. Clear, simple, and direct exposition combined with thoughtful uniformity in the presentation make the book invaluable as a text as a reference for researchers, and as a supplement to every textbook on difference equations.

Detailangaben zum Buch - Dynamics of Second Order Rational Difference Equations


EAN (ISBN-13): 9781584882756
ISBN (ISBN-10): 1584882751
Gebundene Ausgabe
Erscheinungsjahr: 2001
Herausgeber: CHAPMAN & HALL
232 Seiten
Gewicht: 0,503 kg
Sprache: eng/Englisch

Buch in der Datenbank seit 24.05.2007 14:40:37
Buch zuletzt gefunden am 06.06.2017 13:54:59
ISBN/EAN: 9781584882756

ISBN - alternative Schreibweisen:
1-58488-275-1, 978-1-58488-275-6


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