Variational methods for a class of nonlocal functionals
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Publication:1962977
DOI10.1016/S0898-1221(99)00061-9zbMath0944.49013MaRDI QIDQ1962977
Publication date: 20 January 2000
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
optimal controlintegral functionalslower semicontinuitycalculus of variationsvariational problemshereditary systemsabsolutely continuous functionals
Methods involving semicontinuity and convergence; relaxation (49J45) Existence theories for free problems in one independent variable (49J05) Optimality conditions for free problems in one independent variable (49K05)
Related Items (4)
How to state necessary optimality conditions for control problems with deviating arguments? ⋮ Existence results for problems with deviating arguments ⋮ How to state necessary optimality conditions for control problems with deviating arguments? ⋮ Relaxation and convexity of functionals with pointwise nonlocality
Cites Work
- Gamma-convergence and optimal control problems
- An introduction to \(\Gamma\)-convergence
- Current status and development trends of the theory of functional- differential equations
- On reduction of variational problems to extremal problems without constraints
- On the reduction of extremal problems to linear equations in a Hilbert space
- On weak lower semicontinuity for a class of functionals with deviating argument
- Boundary value problems for differential-difference equations arising from variational problems
- On the variational problem in the space of absolutely continuous functions
- On the variation problem for a family of functionals in the space of absolutely continuous functions
- Classical Electrodynamics in Terms of Direct Interparticle Action
- Direct methods in the calculus of variations
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