Weak and strong solvability in L_p spaces of the second boundary-value problem for a parabolic differential-difference equation

2012 ◽  
Vol 2 (2) ◽  
Author(s):  
Anton M Selitskii
Keyword(s):  
Difference Equation ◽  
Boundary Value Problem ◽  
Boundary Value ◽  
Strong Solvability ◽  
Differential Difference Equation

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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