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Variational Problems and Applications
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The current reprint presents studies of uncertain variational problems. It aims to develop the research in this field by formulating and demonstrating some characterization results of well-posedness and robust efficient solutions in new classes of (multiobjective) variational (control) problems governed by multiple and/or path-independent curvilinear integral cost functionals and robust mixed and/or isoperimetric constraints involving first- and second-order partial differential equations.
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Keywords
- Banach lattices
- BVP nonlinear problems
- change of variable
- Classification
- Computer science
- Computing & information technology
- consistent tanh expansion method
- Constrained optimization
- constrained variational problem
- constraint handling
- curvilinear integral
- differential 1-form
- Economics, finance, business & management
- estimating nonlinearities
- Euler–Lagrange equations
- Evolutionary computation
- existence
- feature selection
- fractional integrals
- gH-symmetrically derivative
- global optima
- gradient method
- Green function
- harmonical convex functions
- Hermite–Hadamard Fejér inequality
- Hermite–Hadamard inequalities
- Hermite–Hadamard inequality
- Hermite–Hadamard type inequality
- Hermite–Hadamard–Fejér type inequality
- hybrid algorithm
- Industry & industrial studies
- Information technology industries
- interval Riemann integral
- interval Riemann–Liouville fractional integral operator
- interval-valued functions
- interval-valued optimization
- isoperimetric constraints
- Lagrange 1-form
- left and right preinvex interval-valued function
- line search
- LR-χ-pre-invex interval-valued function
- Markov moment problem
- Media, information & communication industries
- meta-heuristics
- metaheuristics
- modified objective function method
- multi-time controlled Lagrangian of second-order
- multiple integral
- multiple integral functional
- n/a
- nonlinear function
- nonlinear programming
- nonlocal modified Korteweg–de Vries equation
- normal weak robust optimal solution
- numerical comparisons
- optimality conditions
- parity-time symmetry
- penalty function
- polynomial approximation
- positive operators
- real analysis
- Riemann integral
- robust saddle-point
- second-order Lagrangian
- simulated annealing algorithm
- solution
- stationary conditions
- sums of squares
- switching constraints
- symmetric pseudo-convexity
- symmetric quasi-convexity
- unbounded subsets
- Uniqueness
- variational inequalities
- variational methods
- well-posedness
- wolfe duality
Links
DOI: 10.3390/books978-3-0365-6588-0Editions