Optimal control problem for the equation of vibrations of an elastic plate
-
Hamlet F. Guliyev
and
Khayala I. Seyfullaeva
Abstract
An optimal control problem for the vibration equation of an elastic plate is considered when the control function is included in the coefficient of the highest order derivative and the right-hand side of the equation. The solvability of the initial boundary value problem is shown, the theorem on the existence of an optimal control is proved and a necessary condition of optimality in the form of an integral equation is obtained.
References
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Articles in the same Issue
- Frontmatter
- Semilinear fractional order integro-differential inclusions with infinite delay
- Quasi-nilpotent perturbations of the generalized Kato spectrum
- Construction and numerical resolution of high-order accuracy decomposition scheme for a quasi-linear evolution equation
- Relations between BV*(q;α) and Λ*BVp classes of functions
- On the constancy of signs and order of magnitude of Fourier–Haar coefficients
- On the oscillatory behavior of solutions of higher order nonlinear fractional differential equations
- Optimal control problem for the equation of vibrations of an elastic plate
- Generalized Hausdorff capacities and their applications
- Approximation by bivariate (p,q)-Baskakov–Kantorovich operators
- A hydromagnetic flow through porous medium near an accelerating plate in the presence of magnetic field
- A note on the Borel types of some small sets
- On some boundary value problems for the heat equation in a non-regular type of a prism of ℝN+1
- Some weighted integral inequalities for differentiable h-preinvex functions
- Computation of minimal homogeneous generating sets and minimal standard bases for ideals of free algebras
- On Baer invariants of pairs of groups
- The Arzelà–Ascoli theorem by means of ideal convergence
- Absolute convergence of multiple Fourier series of a function of p(n)-Λ-BV
Articles in the same Issue
- Frontmatter
- Semilinear fractional order integro-differential inclusions with infinite delay
- Quasi-nilpotent perturbations of the generalized Kato spectrum
- Construction and numerical resolution of high-order accuracy decomposition scheme for a quasi-linear evolution equation
- Relations between BV*(q;α) and Λ*BVp classes of functions
- On the constancy of signs and order of magnitude of Fourier–Haar coefficients
- On the oscillatory behavior of solutions of higher order nonlinear fractional differential equations
- Optimal control problem for the equation of vibrations of an elastic plate
- Generalized Hausdorff capacities and their applications
- Approximation by bivariate (p,q)-Baskakov–Kantorovich operators
- A hydromagnetic flow through porous medium near an accelerating plate in the presence of magnetic field
- A note on the Borel types of some small sets
- On some boundary value problems for the heat equation in a non-regular type of a prism of ℝN+1
- Some weighted integral inequalities for differentiable h-preinvex functions
- Computation of minimal homogeneous generating sets and minimal standard bases for ideals of free algebras
- On Baer invariants of pairs of groups
- The Arzelà–Ascoli theorem by means of ideal convergence
- Absolute convergence of multiple Fourier series of a function of p(n)-Λ-BV
