Stability of Nonhyperbolic Equilibrium Solution of Second Order Nonlinear Rational Difference Equation
Keyword(s):
This is a continuation part of our investigation in which the second order nonlinear rational difference equation xn+1=(α+βxn+γxn-1)/(A+Bxn+Cxn-1), n=0,1,2,…, where the parameters A≥0 and B, C, α, β, γ are positive real numbers and the initial conditions x-1, x0 are nonnegative real numbers such that A+Bx0+Cx-1>0, is considered. The first part handled the global asymptotic stability of the hyperbolic equilibrium solution of the equation. Our concentration in this part is on the global asymptotic stability of the nonhyperbolic equilibrium solution of the equation.
2010 ◽
Vol 2010
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pp. 1-10
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2010 ◽
Vol 2010
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pp. 1-17
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2014 ◽
Vol 233
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pp. 377-382
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2011 ◽
Vol 2011
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pp. 1-8
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2013 ◽
Vol 2013
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pp. 1-6
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