On a boundary value problem for fourth-order equations of composite type

1975 ◽  
Vol 16 (1) ◽  
pp. 144-146 ◽  
Author(s):  
P. E. Berkhin
Keyword(s):  
Boundary Value Problem ◽  
Fourth Order ◽  
Boundary Value ◽  
Composite Type ◽  
Fourth Order Equations

scholarly journals One solution for nonlocal fourth order equations

2021 ◽  
Vol 40 ◽  
pp. 1-13
Author(s):  
Ghasem A. Afrouzi ◽  
David Barilla ◽  
Giuseppe Caristi ◽  
Shahin Moradi
Keyword(s):  
Weak Solution ◽  
Boundary Value Problem ◽  
Critical Point ◽  
Fourth Order ◽  
Boundary Value ◽  
Kirchhoff Type ◽  
Fourth Order Equations ◽  
Critical Point Result

A critical point result for differentiable functionals is exploited in order to prove that a suitable class of fourth-order boundary value problem of Kirchhoff-type possesses at least one weak solution under an asymptotical behavior of the nonlinear datum at zero. Some examples to illustrate the results are given.

scholarly journals WEAK SOLUTIONS OF BOUNDARY VALUE PROBLEMS IN NONTUBE DOMAINS FOR FOURTH-ORDER EQUATIONS OF COMPOSITE TYPE

2011 ◽  
Vol 16 (3) ◽  
pp. 498-508
Author(s):  
Victor Korzyuk ◽  
Olga Kovnatskaya
Keyword(s):  
Functional Analysis ◽  
Boundary Value Problems ◽  
Fourth Order ◽  
Weak Solutions ◽  
Existence And Uniqueness ◽  
Boundary Value ◽  
Composite Type ◽  
Fourth Order Equations

In the paper existence and uniqueness of weak solutions of boundary value problems in nontube domains for fourth-order equations of composite type are proved by methods of functional analysis.

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