scholarly journals On the existence of solutions of nonlinear boundary value problems at resonance in Sobolev spaces of fractional order

1999 ◽  
Vol 29 (2) ◽  
pp. 313-325 ◽  
Author(s):  
Thomas Runst
Keyword(s):  
Boundary Value Problems ◽  
Fractional Order ◽  
Sobolev Spaces ◽  
Nonlinear Boundary ◽  
Existence Of Solutions ◽  
Boundary Value ◽  
Nonlinear Boundary Value Problems ◽  
At Resonance ◽  
Nonlinear Boundary Value

scholarly journals On Nonlinear Boundary Value Problems for Functional Difference Equations withp-Laplacian

2010 ◽  
Vol 2010 ◽  
pp. 1-12 ◽  
Author(s):  
Yong Wan ◽  
Yuji Liu
Keyword(s):  
Boundary Value Problems ◽  
Difference Equations ◽  
Nonlinear Boundary ◽  
Existence Of Solutions ◽  
Boundary Value ◽  
Sufficient Conditions ◽  
Functional Difference ◽  
Nonlinear Boundary Value Problems ◽  
Nonlinear Boundary Value ◽  
Functional Difference Equations

Sufficient conditions for the existence of solutions of nonlinear boundary value problems for higher-order functional difference equations withp-Laplacian are established by making of continuation theorems. We allowfto be at most linear, superlinear, or sublinear in obtained results.

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