Iterative methods for the boundary value problem of a fourth-order differential-difference equation

1995 ◽  
Vol 73 (2-3) ◽  
pp. 257-270 ◽  
Author(s):  
Wang Peiguang
Keyword(s):  
Difference Equation ◽  
Boundary Value Problem ◽  
Iterative Methods ◽  
Fourth Order ◽  
Boundary Value ◽  
Differential Difference Equation

scholarly journals Boundary Value Problems for Fourth Order Nonlinearp-Laplacian Difference Equations

2014 ◽  
Vol 2014 ◽  
pp. 1-6 ◽  
Author(s):  
Qinqin Zhang
Keyword(s):  
Difference Equation ◽  
Boundary Value Problem ◽  
Boundary Value Problems ◽  
Fourth Order ◽  
Difference Equations ◽  
Existence Of Solutions ◽  
Boundary Value ◽  
Sufficient Conditions ◽  
Mountain Pass ◽  
Mountain Pass Lemma

We consider the boundary value problem for a fourth order nonlinearp-Laplacian difference equation containing both advance and retardation. By using Mountain pass lemma and some established inequalities, sufficient conditions of the existence of solutions of the boundary value problem are obtained. And an illustrative example is given in the last part of the paper.

scholarly journals Eigenfunctions of plane elastostatics III the Wedge

1965 ◽  
Vol 5 (2) ◽  
pp. 241-257 ◽  
Author(s):  
V. T. Buchwald
Keyword(s):  
Difference Equation ◽  
Boundary Value Problem ◽  
Eigenfunction Expansion ◽  
Boundary Value ◽  
Fourier Integral ◽  
Complementary Function ◽  
Differential Difference Equation ◽  
Plane Elastostatics ◽  
Infinite Wedge ◽  
Residue Theory

SummaryThe boundary value problem of the infinite wedge in plane elastostatics is reduced to the solution of a differential-difference equation. The complementary function of this equation is determined in the form of a Fourier integral, which, on expansion by residue theory, gives the complete eigenfunction expansion for the wedge. The properties of the eigenfunctions are discussed in some detail, and orthogonality property is derived.

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