Solutions of some boundary value problems for a new class of elastic bodies undergoing small strains. Comparison with the predictions of the classical theory of linearized elasticity: Part I. Problems with cylindrical symmetry

2014 ◽  
Vol 226 (6) ◽  
pp. 1815-1838 ◽  
Author(s):  
R. Bustamante ◽  
K. R. Rajagopal
Keyword(s):  
Boundary Value Problems ◽  
Classical Theory ◽  
Boundary Value ◽  
Cylindrical Symmetry ◽  
New Class ◽  
Small Strains ◽  
Elastic Bodies ◽  
Linearized Elasticity

scholarly journals Hilfer-Hadamard Nonlocal Integro-Multipoint Fractional Boundary Value Problems

2021 ◽  
Vol 2021 ◽  
pp. 1-9
Author(s):  
Chanon Promsakon ◽  
Sotiris K. Ntouyas ◽  
Jessada Tariboon
Keyword(s):  
Boundary Value Problems ◽  
Boundary Value ◽  
Contraction Mapping Principle ◽  
Uniqueness Of Solutions ◽  
New Class ◽  
Nonlinear Alternative ◽  
Banach Contraction ◽  
Multipoint Boundary Conditions ◽  
Fractional Differential ◽  
Banach Contraction Mapping Principle

This paper is concerned with the existence and uniqueness of solutions for a new class of boundary value problems, consisting by Hilfer-Hadamard fractional differential equations, supplemented with nonlocal integro-multipoint boundary conditions. The existence of a unique solution is obtained via Banach contraction mapping principle, while the existence results are established by applying Schaefer and Krasnoselskii fixed point theorems as well as Leray-Schauder nonlinear alternative. Examples illustrating the main results are also constructed.

New Class of Boundary Value Problems

2012 ◽  
Vol 1 (2) ◽  
pp. 67-76 ◽  
Author(s):  
Abdon Atangana
Keyword(s):  
Boundary Value Problems ◽  
Boundary Value ◽  
New Class

scholarly journals Hypercircle estimates for nonlinear problems

1980 ◽  
Vol 21 (3) ◽  
pp. 330-337
Author(s):  
A. M. Arthurs
Keyword(s):  
Contact Angle ◽  
Free Surface ◽  
Boundary Value Problem ◽  
Boundary Value Problems ◽  
Boundary Value ◽  
Linear Equations ◽  
Nonlinear Problems ◽  
New Class ◽  
Non Linear Equations ◽  
Monotone Type

AbstractRecent hypercircie estimates for non-linear equations are extended to include a new class of boundary value problems of monotone type. The results are illustrated by the boundary value problem for the equilibrium-free surface of a liquid with prescribed contact angle.

scholarly journals A Class of Integral Transforms

1964 ◽  
Vol 14 (1) ◽  
pp. 33-40 ◽  
Author(s):  
Jet Wimp
Keyword(s):  
Heat Conduction ◽  
Boundary Value Problems ◽  
Inversion Formula ◽  
Heat Conduction Equation ◽  
Boundary Value ◽  
Integral Transforms ◽  
Conduction Equation ◽  
New Class ◽  
Special Cases ◽  
Image Position

In this paper we discuss a new class of integral transforms and their inversion formula. The kernel in the transform is a G-function (for a treatment of this function, see ((1), 5.3) and integration is performed with respect to the argument of that function. In the inversion formula, the kernel is likewise a G-function, but there integration is performed with respect to a parameter. Known special cases of our results are the Kontorovitch-Lebedev transform pair ((2), v. 2; (3))and the generalised Mehler transform pair (7)These transforms are used in solving certain boundary value problems of the wave or heat conduction equation involving wedge or conically-shaped boundaries, and are extensively tabulated in (6).

Strongly irregular boundary value problems

1979 ◽  
Vol 82 (3-4) ◽  
pp. 291-303 ◽  
Author(s):  
Bernd Schultze
Keyword(s):  
Boundary Conditions ◽  
Boundary Value Problems ◽  
Boundary Value ◽  
Summable Function ◽  
Eigenfunction Expansions ◽  
Irregular Boundary ◽  
New Class

SynopsisA new class of irregular boundary value problems—non-regular in the sense of Birkhoff—is studied. This class of strongly irregular problems includes the class of boundary value problems with irregular decomposing boundary conditions. For each strongly irregular problem we can find a problem with irregular decomposing boundary conditions so that we have equiconvergence with respect to Riesz typical means of the eigenfunction expansions arising from these two problems of an arbitrary summable function.

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