A Boundary Value Problem for Bihypermonogenic Functions in Clifford Analysis

This paper deals with a nonlinear boundary value problem for bihypermonogenic functions in Clifford analysis. The integrals of quasi-Cauchy’s type and Plemelj formula for bihypermonogenic functions are firstly reviewed briefly. The nonlinear Riemmann boundary value problem for bihypermonogenic functions is discussed and the existence of solutions is obtained, which also indicates that the linear boundary value problem has a unique solution.

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On the question of the existence of solutions of one nonlinear boundary-value problem for the system of differential equations of the theory of shallow shells of Timoshenko type

Journal of Physics Conference Series ◽

10.1088/1742-6596/1158/3/032011 ◽

2019 ◽

Vol 1158 ◽

pp. 032011

Author(s):

L S Kharasova

Keyword(s):

Differential Equations ◽

Boundary Value Problem ◽

Nonlinear Boundary ◽

Existence Of Solutions ◽

Boundary Value ◽

Nonlinear Boundary Value Problem ◽

System Of Differential Equations ◽

Shallow Shells ◽

Timoshenko Type ◽

Nonlinear Boundary Value

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Existence of solutions to a nonlinear boundary value problem by variational means

Journal of Mathematical Analysis and Applications ◽

10.1016/0022-247x(83)90268-8 ◽

1983 ◽

Vol 92 (2) ◽

pp. 581-598

Author(s):

J.G Graham-Eagle ◽

G.C Wake

Keyword(s):

Boundary Value Problem ◽

Nonlinear Boundary ◽

Existence Of Solutions ◽

Boundary Value ◽

Nonlinear Boundary Value Problem ◽

Nonlinear Boundary Value

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Existence of solutions of a nonlinear boundary value problem via the method of lines

Nonlinear Analysis ◽

10.1016/0362-546x(78)90001-9 ◽

1978 ◽

Vol 2 (5) ◽

pp. 519-535 ◽

Cited By ~ 4

Author(s):

K. Schmitt ◽

R.C. Thompson ◽

W. Walter

Keyword(s):

Boundary Value Problem ◽

Nonlinear Boundary ◽

Existence Of Solutions ◽

Boundary Value ◽

Method Of Lines ◽

Nonlinear Boundary Value Problem ◽

The Method Of Lines ◽

Nonlinear Boundary Value

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Existence of solutions of a nonlinear boundary value problem, arising in flow and heat transfer over a stretching sheet

Nonlinear Analysis ◽

10.1016/0362-546x(92)90049-k ◽

1992 ◽

Vol 18 (1) ◽

pp. 93-98 ◽

Cited By ~ 3

Author(s):

E. Soewono ◽

K. Vajravelu ◽

R.N. Mohapatra

Keyword(s):

Heat Transfer ◽

Boundary Value Problem ◽

Nonlinear Boundary ◽

Stretching Sheet ◽

Existence Of Solutions ◽

Boundary Value ◽

Nonlinear Boundary Value Problem ◽

Flow And Heat Transfer ◽

Nonlinear Boundary Value

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On the existence of solutions of one nonlinear boundary-value problem for shallow shells of Timoshenko type with simply supported edges

IOP Conference Series Materials Science and Engineering ◽

10.1088/1757-899x/158/1/012092 ◽

2016 ◽

Vol 158 ◽

pp. 012092 ◽

Cited By ~ 1

Author(s):

S N Timergaliev ◽

L S Kharasova

Keyword(s):

Boundary Value Problem ◽

Nonlinear Boundary ◽

Existence Of Solutions ◽

Boundary Value ◽

Nonlinear Boundary Value Problem ◽

Shallow Shells ◽

Simply Supported ◽

Timoshenko Type ◽

Nonlinear Boundary Value

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A Class of Linear Boundary Value Problem for $k$-regular Functions in Clifford Analysis

Journal of Mathematics Research ◽

10.5539/jmr.v8n3p57 ◽

2016 ◽

Vol 8 (3) ◽

pp. 57

Author(s):

Yan Zhang

Keyword(s):

Integral Equation ◽

Fixed Point ◽

Boundary Value Problem ◽

Clifford Analysis ◽

Boundary Value ◽

Regular Function ◽

Integral Equation Method ◽

Linear Boundary ◽

Regular Functions ◽

Linear Boundary Value Problem

In this paper, we introduce the linear boundary value problem for $k$-regular function, and give an unique solution for this problem by integral equation method and fixed-point theorem.

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Solvability of Some Singular Boundary Value Problems on the Semi-Infinite Interval

Canadian Journal of Mathematics ◽

10.4153/cjm-1996-006-x ◽

1996 ◽

Vol 48 (1) ◽

pp. 143-158 ◽

Cited By ~ 6

Author(s):

Donal O'Regan

Keyword(s):

Boundary Value Problem ◽

Boundary Value Problems ◽

Nonlinear Boundary ◽

Existence Of Solutions ◽

Boundary Value ◽

Existence Results ◽

Nonlinear Boundary Value Problem ◽

Infinite Interval ◽

Singular Boundary ◽

Singular Boundary Value Problems

AbstractExistence of solutions to the nonlinear boundary value problem on the semi-infinite interval bounded on [0, ∞), are established. In the process we obtain new existence results for boundary value problems on compact intervals.

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