Search Results - singular boundary value problem with constraints
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Singular boundary value problem for the integrodifferential equation in an insurance model with stochastic premiums: Analysis and numerical solution
ISSN: 0965-5425, 1555-6662Published: Boston Springer US 01.10.2012Published in Computational mathematics and mathematical physics (01.10.2012)“…A singular boundary value problem for a second-order linear integrodifferential equation with Volterra and non-Volterra integral operators is formulated and analyzed…”
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Singular Abreu Equations and Minimizers of Convex Functionals with a Convexity Constraint
ISSN: 0010-3640, 1097-0312Published: Melbourne John Wiley & Sons Australia, Ltd 01.10.2020Published in Communications on pure and applied mathematics (01.10.2020)“…We study the solvability of second boundary value problems of fourth‐order equations of Abreu type arising from approximation of convex functionals whose Lagrangians depend on the gradient variable, subject to a convexity constraint…”
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An irreversible investment problem with demand on a finite horizon: The optimal investment boundary analysis
ISSN: 1007-5704, 1878-7274Published: Amsterdam Elsevier B.V 01.06.2022Published in Communications in nonlinear science & numerical simulation (01.06.2022)“… Mathematically, it is a singular stochastic control problem whose value function satisfies a two-dimensional parabolic variational inequality with gradient constraint…”
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Mass minimization of an Euler-Bernoulli beam with coupled bending and axial vibrations at prescribed fundamental frequency
ISSN: 0141-0296, 1873-7323Published: Kidlington Elsevier Ltd 01.02.2021Published in Engineering structures (01.02.2021)“…•An inequality constraint is imposed on the beam cross-sectional derivative. The problem of determining the optimum shape of a homogeneous Euler…”
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Extension of switch point algorithm to boundary-value problems
ISSN: 0926-6003, 1573-2894Published: New York Springer US 01.12.2023Published in Computational optimization and applications (01.12.2023)“… The theory is now extended to include problems with both initial and terminal constraints, a structure that often arises in boundary-value problems…”
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On approximating minimizers of convex functionals with a convexity constraint by singular Abreu equations without uniform convexity
ISSN: 0308-2105, 1473-7124Published: Edinburgh, UK Royal Society of Edinburgh Scotland Foundation 01.02.2021Published in Proceedings of the Royal Society of Edinburgh. Section A. Mathematics (01.02.2021)“…We revisit the problem of approximating minimizers of certain convex functionals subject to a convexity constraint by solutions of fourth order equations of Abreu type…”
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An irreversible investment problem with maintenance expenditure on a finite horizon: Free boundary analysis
ISSN: 0022-247X, 1096-0813Published: Elsevier Inc 15.08.2016Published in Journal of mathematical analysis and applications (15.08.2016)“… Mathematically, it is a singular stochastic control problem whose value function satisfies a parabolic variational inequality with gradient constraint…”
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Finite horizon portfolio selection problem with a drawdown constraint on consumption
ISSN: 0022-247X, 1096-0813Published: Elsevier Inc 01.02.2022Published in Journal of mathematical analysis and applications (01.02.2022)“…In this paper we investigate the consumption and portfolio selection problem of a finitely-lived agent who faces drawdown constraint on consumption…”
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Optimal Consumption and Investment with Income Adjustment and Borrowing Constraints
ISSN: 2227-7390, 2227-7390Published: Basel MDPI AG 01.11.2024Published in Mathematics (Basel) (01.11.2024)“… This utility maximization problem is a mixture of stochastic control, where the agent chooses consumption and investment, and singular control, where the agent chooses a non-decreasing income process…”
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Singular Abreu equations and minimizers of convex functionals with a convexity constraint
ISSN: 2331-8422Published: Ithaca Cornell University Library, arXiv.org 30.12.2019Published in arXiv.org (30.12.2019)“…We study the solvability of second boundary value problems of fourth order equations of Abreu type arising from approximation of convex functionals whose Lagrangians depend on the gradient variable…”
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Direct and indirect methods in optimal control with state constraints and the climbing trajectory of an aircraft
ISSN: 0143-2087, 1099-1514Published: Glasgow Wiley Subscription Services, Inc 01.01.2018Published in Optimal control applications & methods (01.01.2018)“… a multipoint boundary value problem, which is solved by multiple shooting. This indirect method is the numerical implementation of the maximum principle with state…”
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Greedy Sensor Placement With Cost Constraints
ISSN: 1530-437X, 1558-1748Published: New York IEEE 01.04.2019Published in IEEE sensors journal (01.04.2019)“…The problem of optimally placing sensors under a cost constraint arises naturally in the design of industrial and commercial products, as well as in scientific experiments…”
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Solving singular coupled fractional differential equations with integral boundary constraints by coupled fixed point methodology
ISSN: 2473-6988, 2473-6988Published: AIMS Press 01.01.2021Published in AIMS mathematics (01.01.2021)“… Thereafter, the existence and uniqueness of the boundary value problem for a singular coupled fractional differential equation of order $ \nu…”
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A complete asymptotic expansion of a solution to a singular perturbation optimal control problem on an interval with geometric constraints
ISSN: 0081-5438, 1531-8605Published: Moscow Pleiades Publishing 01.04.2017Published in Proceedings of the Steklov Institute of Mathematics (01.04.2017)“…We consider an optimal control problem for solutions of a boundary value problem on an interval for a second-order ordinary differential equation with a small parameter at the second derivative…”
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Finite Horizon Optimal Investment and Consumption with Transaction Costs
ISSN: 0363-0129, 1095-7138Published: Philadelphia Society for Industrial and Applied Mathematics 01.01.2009Published in SIAM journal on control and optimization (01.01.2009)“…]. Mathematically, it is a singular stochastic control problem whose value function satisfies a parabolic variational inequality with gradient constraints…”
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Convergent Numerical Scheme for Singular Stochastic Control with State Constraints in a Portfolio Selection Problem
ISSN: 0363-0129, 1095-7138Published: Philadelphia, PA Society for Industrial and Applied Mathematics 01.01.2007Published in SIAM journal on control and optimization (01.01.2007)“…We consider a singular stochastic control problem with state constraints that arises in problems of optimal consumption and investment under transaction costs…”
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An optimal consumption problem in finite time with a constraint on the ruin probability
ISSN: 0949-2984, 1432-1122Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.10.2015Published in Finance and stochastics (01.10.2015)“… For the discontinuous value function V ( t , x ) of the penalized problem, we show that it is the unique viscosity solution of the corresponding Hamilton–Jacobi–Bellman equation…”
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A recent survey on computational techniques for solving singularly perturbed boundary value problems
ISSN: 0020-7160, 1029-0265Published: Taylor & Francis 01.10.2007Published in International journal of computer mathematics (01.10.2007)“… Because of space constraints, we considered one-dimensional singularly perturbed boundary value problems only…”
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Modern Problems of Mathematical Physics and Their Applications
ISBN: 9783036534961, 3036534954, 9783036534954, 3036534962Published: Basel MDPI - Multidisciplinary Digital Publishing Institute 2022“… Thus, we have tried to provide the Special Issue “Modern Problems of Mathematical Physics and Their Applications…”
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Some Analytical Solutions to the Problems of Optimization of the Variable Heat Conductivity Coefficient
ISSN: 0037-4466, 1573-9260Published: Moscow Pleiades Publishing 01.01.2025Published in Siberian mathematical journal (01.01.2025)“… and a flat wall under mixed boundary conditions. The cost functionals and constraints are either the average or maximal temperature while the constraints are either the condition of constancy of the integral heat conductivity coefficient…”
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