scholarly journals Interval analysis techniques for boundary value problems of elasticity in two dimensions

2007 ◽  
Vol 233 (1) ◽  
pp. 181-198 ◽  
Author(s):  
Irina Mitrea ◽  
Warwick Tucker
Keyword(s):  
Boundary Value Problems ◽  
Interval Analysis ◽  
Boundary Value ◽  
Two Dimensions ◽  
Analysis Techniques

scholarly journals On solvability of some $ p $-Laplacian boundary value problems with Caputo fractional derivative

2021 ◽  
Vol 6 (12) ◽  
pp. 13622-13633
Author(s):  
Xiaoping Li ◽  
◽  
Dexin Chen ◽  
Keyword(s):  
Fixed Point ◽  
Fractional Derivative ◽  
Boundary Value Problems ◽  
Caputo Fractional Derivative ◽  
Fixed Point Theory ◽  
Boundary Value ◽  
Point Theory ◽  
Existence Results ◽  
Analysis Techniques

<abstract><p>The solvability of some $ p $-Laplace boundary value problems with Caputo fractional derivative are discussed. By using the fixed-point theory and analysis techniques, some existence results of one or three non-negative solutions are obtained. Two examples showed that the conditions used in this paper are somewhat easy to check.</p></abstract>

scholarly journals A New Formulation for Solutions of Boundary Value Problems Using Domain-type Approximations and Local Integral Equations

2007 ◽  
Vol 1 (2) ◽  
Author(s):  
V. Sladek ◽  
J. Sladek
Keyword(s):  
Boundary Value Problems ◽  
Boundary Value ◽  
Two Dimensions ◽  
Boundary Integral ◽  
Primary Field ◽  
Type Approximation ◽  
Domain Type ◽  
Local Integral ◽  
New Formulation ◽  
Local Integral Equations

The boundary and domain-type approximations are discussed in boundary integral equation formulations for solution of boundary value problems. A new approach is proposed with using a domain-type approximation of the primary field and collocation of boundary conditions at boundary nodes and local integral representation of the primary field at interior nodes. Two kinds of the domain-type approximation are utilized. The proposed method is illustrated on potential problems in two dimensions.

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