[HTML][HTML] Existence for continuous nonoscillatory solutions of second-order nonlinear difference equations with continuous variable

J Deng - Mathematical and computer modelling, 2007 - Elsevier
… In this paper, by using fixed point theory, under quite general condition on the nonlinear
term, we obtain a existence result of continuous nonoscillatory solutions of second-order
nonlinear difference equations with continuous variable. … In Section 3, we apply the
results of the second section to second-order nonlinear difference equation with continuous
variable (1) and prove that there exists a continuous nonoscillatory solution to (1) on t under
quite general conditions on the nonlinear term, f . This is our main result in this paper. … In …

Bounded continuous nonoscillatory solutions of second-order nonlinear difference equations with continuous variable

J Deng, Z Xu - Journal of mathematical analysis and applications, 2007 - Elsevier
… In this paper, by using the fixed point theory, under quite general condition on the
nonlinear term, we obtain an existence result concerning bounded continuous nonoscillatory
solutions of a second-order nonlinear difference equation with continuous variable. … In
this paper, we study the existence of bounded continuous nonoscillatory solutions of the
second-order difference equation with continuous variable … In Section 3, we apply the
results of Section 2 to the second-order nonlinear difference equation with continuous …
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