Smooth maximally dissipative boundary-value problems for a parabolic equation in a Hilbert space

1984 ◽  
Vol 35 (4) ◽  
pp. 424-428 ◽  
Author(s):  
V. V. Levchuk
Keyword(s):  
Hilbert Space ◽  
Parabolic Equation ◽  
Boundary Value Problems ◽  
Boundary Value ◽  
Dissipative Boundary

scholarly journals Solving a Class of Singular Fifth-Order Boundary Value Problems Using Reproducing Kernel Hilbert Space Method

2013 ◽  
Vol 2013 ◽  
pp. 1-6 ◽  
Author(s):  
Yulan Wang ◽  
Shuai Lu ◽  
Fugui Tan ◽  
Mingjing Du ◽  
Hao Yu
Keyword(s):  
Hilbert Space ◽  
Boundary Value Problems ◽  
Reproducing Kernel ◽  
Reproducing Kernel Hilbert Space ◽  
Boundary Value ◽  
Reproducing Kernel Space ◽  
Finite Section ◽  
Finite Section Method ◽  
Fifth Order ◽  
Space Method

We use the reproducing kernel Hilbert space method to solve the fifth-order boundary value problems. The exact solution to the fifth-order boundary value problems is obtained in reproducing kernel space. The approximate solution is given by using an iterative method and the finite section method. The present method reveals to be more effective and convenient compared with the other methods.

scholarly journals Boundary value problems for nonlinear systems with generalized second-order differences

2011 ◽  
Vol 27 (1) ◽  
pp. 95-104
Author(s):  
RODICA LUCA ◽  
Keyword(s):  
Boundary Condition ◽  
Hilbert Space ◽  
Nonlinear Systems ◽  
Boundary Value Problems ◽  
Existence And Uniqueness ◽  
Real Hilbert Space ◽  
Boundary Value ◽  
Monotone Operators ◽  
Second Order ◽  
Differential Systems

In a real Hilbert space, we investigate the existence and uniqueness of the solutions for two classes of infinite nonlinear systems with generalized second-order differences, one of them subject to a boundary condition. Some applications to nonlinear differential systems with monotone operators are also presented.

scholarly journals An algorithm for solving generalized algebraic Lyapunov equations in Hilbert space, applications to boundary value problems

1988 ◽  
Vol 31 (1) ◽  
pp. 99-105 ◽  
Author(s):  
Lucas Jódar
Keyword(s):  
Hilbert Space ◽  
Boundary Value Problem ◽  
Boundary Value Problems ◽  
Operator Equation ◽  
Boundary Value ◽  
Linear Operators ◽  
Bounded Linear Operators ◽  
Space Applications ◽  
Bounded Linear ◽  
Image Position

Let L(H) be the algebra of all bounded linear operators on a separable complex Hubert space H. In a recent paper [7], explicit expressions for solutions of a boundary value problem in the Hubert space H, of the typeare given in terms of solutions of an algebraic operator equation

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