scholarly journals Initial-boundary value problem for a fourth-order plate equation with Hardy-Hénon potential and polynomial nonlinearity

2020 ◽  
Vol 28 (2) ◽  
pp. 599-625
Author(s):  
Xu Liu ◽  
◽  
Jun Zhou
Keyword(s):  
Boundary Value Problem ◽  
Fourth Order ◽  
Boundary Value ◽  
Initial Boundary ◽  
Initial Boundary Value Problem ◽  
Plate Equation ◽  
Polynomial Nonlinearity ◽  
Initial Boundary Value

scholarly journals Integro-differential systems with variable exponents of nonlinearity

2017 ◽  
Vol 15 (1) ◽  
pp. 859-883 ◽  
Author(s):  
Oleh Buhrii ◽  
Nataliya Buhrii
Keyword(s):  
Differential Equations ◽  
Boundary Value Problem ◽  
Existence Theorem ◽  
Fourth Order ◽  
Boundary Value ◽  
Initial Boundary ◽  
Initial Boundary Value Problem ◽  
Variable Exponents ◽  
Differential Systems ◽  
Initial Boundary Value

Abstract Some nonlinear integro-differential equations of fourth order with variable exponents of the nonlinearity are considered. The initial-boundary value problem for these equations is investigated and the existence theorem for the problem is proved.

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