A priori bounds of solutions of the nonlinear integral convolution type equation and their applications

1993 ◽  
Vol 54 (5) ◽  
pp. 1087-1092 ◽  
Author(s):  
S. N. Askhabov ◽  
M. A. Betilgiriev
Keyword(s):  
A Priori ◽  
Type Equation ◽  
Convolution Type ◽  
A Priori Bounds ◽  
Integral Convolution ◽  
Convolution Type Equation

Convolution-Type Equation of Inverse Refraction Problem;

2003 ◽  
Vol 59 (1-2) ◽  
pp. 49-53
Author(s):  
G.A. Alexeev ◽  
M. V. Belobrova
Keyword(s):  
Type Equation ◽  
Convolution Type ◽  
Convolution Type Equation

scholarly journals On estimations of solutions of one convolution type equation

2013 ◽  
Vol 5 (1) ◽  
pp. 30-35
Author(s):  
B.V. Vynnytskyi ◽  
V.M. Dilnyi
Keyword(s):  
Analytic Continuation ◽  
Type Equation ◽  
Convolution Type ◽  
Smirnov Space ◽  
Convolution Type Equation

We consider a convolution type equation in a semi-strip for the functions belonging to the Hardy-Smirnov space. Estimations of solutions are obtained in terms of analytic continuation.

On a method for solving a convolution-type equation with the use of difference equations

2011 ◽  
Vol 47 (6) ◽  
pp. 892-895
Author(s):  
O. V. Gun’ko ◽  
V. V. Sulima
Keyword(s):  
Difference Equations ◽  
Type Equation ◽  
Convolution Type ◽  
Convolution Type Equation

NLS and KdV Hamiltonian linearized operators: A priori bounds on the spectrum and optimal L2 estimates for the semigroups

2021 ◽  
Vol 416 ◽  
pp. 132738
Author(s):  
Harrison Gaebler ◽  
Milena Stanislavova
Keyword(s):  
A Priori ◽  
A Priori Bounds

scholarly journals A priori bounds of the solution of a one point IBVP for a singular fractional evolution equation

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Said Mesloub ◽  
Hassan Eltayeb Gadain
Keyword(s):  
Differential Equations ◽  
Evolution Equation ◽  
A Priori Estimates ◽  
Boundary Value ◽  
A Priori ◽  
Initial Boundary ◽  
A Priori Bounds ◽  
Fractional Evolution Equation ◽  
Priori Estimates ◽  
Initial Boundary Value

Abstract A priori bounds constitute a crucial and powerful tool in the investigation of initial boundary value problems for linear and nonlinear fractional and integer order differential equations in bounded domains. We present herein a collection of a priori estimates of the solution for an initial boundary value problem for a singular fractional evolution equation (generalized time-fractional wave equation) with mass absorption. The Riemann–Liouville derivative is employed. Results of uniqueness and dependence of the solution upon the data were obtained in two cases, the damped and the undamped case. The uniqueness and continuous dependence (stability of solution) of the solution follows from the obtained a priori estimates in fractional Sobolev spaces. These spaces give what are called weak solutions to our partial differential equations (they are based on the notion of the weak derivatives). The method of energy inequalities is used to obtain different a priori estimates.

scholarly journals A priori bounds for degenerate and singular evolutionary partial integro-differential equations

2010 ◽  
Vol 73 (11) ◽  
pp. 3572-3585 ◽  
Author(s):  
Vicente Vergara ◽  
Rico Zacher
Keyword(s):  
Differential Equations ◽  
A Priori ◽  
A Priori Bounds
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