Periodic solutions of second-order nonlinear difference equations containing a small parameter—IV. Multi-discrete time method

1987 ◽  
Vol 324 (2) ◽  
pp. 263-271 ◽  
Author(s):  
Ronald E. Mickens
Keyword(s):  
Small Parameter ◽  
Periodic Solutions ◽  
Discrete Time ◽  
Difference Equations ◽  
Second Order ◽  
Nonlinear Difference Equations

scholarly journals A boundary value problem for second-order nonlinear difference equations on the integers

2005 ◽  
Vol 47 (2) ◽  
pp. 237-248
Author(s):  
F. Dal ◽  
G. Sh. Guseinov
Keyword(s):  
Boundary Value Problem ◽  
Difference Equations ◽  
Boundary Value ◽  
Second Order ◽  
Nonlinear Difference Equations ◽  
Left Hand ◽  
Existence And Uniqueness Results ◽  
Uniqueness Results ◽  
Limit Circle Case ◽  
Difference Expression

AbstractIn this study, we are concerned with a boundary value problem (BVP) for nonlinear difference equations on the set of all integers Z. under the assumption that the left-hand side is a second-order linear difference expression which belongs to the so-called Weyl-Hamburger limit-circle case. The BVP is considered in the Hilbert space l2 and includes boundary conditions at infinity. Existence and uniqueness results for solution of the considered BVP are established.

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