An existence theorem for a class of differential equations with multivalued right-hand side

From MaRDI portal
Publication:2561014

DOI10.1016/0022-247X(73)90192-3zbMath0262.49019OpenAlexW2145703215MaRDI QIDQ2561014

Claude Henry

Publication date: 1973

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(73)90192-3




Related Items (62)

Lyapunov functions for evolution variational inequalities with uniformly prox-regular setsThe replicator dynamics of generalized Nash gamesPerturbed evolution problems with absolutely continuous variation in time and applicationsMixed semicontinuous perturbations of nonconvex sweeping processesConstruction of population growth equations in the presence of viability constraintsViscosity solutions for partial differential equations with Neumann type boundary conditions and some aspects of Aubry-Mather theoryRegularization of differential variational inequalities with locally prox-regular setsOn the Solution Set of Differential Inclusions with State ConstraintsSweeping processes with prescribed behavior on jumpsMultivalued perturbations of subdifferential type evolution equations in Hilbert spacesNonlocal problem for differential complementarity systemsWell-posedness, stability and invariance results for a class of multivalued Lur'e dynamical systemsDifferential inclusions with state constraintsStability and robustness for saddle-point dynamics through monotone mappingsProjection Process with Definable Right-Hand SideMonotone evolution of resource allocationsOn evolution quasi-variational inequalities and implicit state-dependent sweeping processesSlow and Quasi-slow solutions of differential inclusionsDynamics of vaccination strategies via projected dynamical systemsLearning in monotone Bayesian gamesExistence solutions for a couple of differential inclusions involving maximal monotone operatorsSweeping process with regular and nonregular sets.Double-layered dynamics: a unified theory of projected dynamical systems and evolutionary variational inequalitiesOn sweeping process with the cone of limiting normals.Nonpivot and implicit projected dynamical systems on Hilbert spacesA continuous gradient-like dynamical approach to Pareto-optimization in Hilbert spacesA dynamic gradient approach to Pareto optimization with nonsmooth convex objective functionsMaximum descent monotone solutions of an ordinary differential equation with a discontinuous right-hand sideUnnamed ItemStability with regime switchingOptimal control of differential inclusions with state constraintsRegularization of nonconvex sweeping process in Hilbert spaceConvex sweeping process in the framework of measure differential inclusions and evolution variational inequalitiesNonconvex sweeping process with a moving set depending on the stateOn smoothness of solutions to projected differential equationsMonotonicity and existence of periodic orbits for projected dynamical systems on Hilbert spacesExistence of solutions for a second order boundary value problem with the Clarke subdifferentialDifferential variational inequalitiesStability and invariance results for a class of non-monotone set-valued Lur’e dynamical systemsConvex valued geodesics and applications to sweeping processes with bounded retractionProjected dynamical systems and evolutionary variational inequalities via Hilbert spaces with applicationsApproximating saddle points as equilibria of differential inclusionsOn the equivalence between complementarity systems, projected systems and differential inclusionsReflected dynamics: viscosity analysis for \(\mathbb{L}^\infty\) cost, relaxation and abstract dynamic programmingA unifying convex analysis and switching system approach to consensus with undirected communication graphsMonotone trajectories of multivalued dynamical systemsNonsmooth dynamics of generalized Nash gamesThe projection dynamic and the geometry of population gamesProjected Dynamical Systems on Irregular, Non-Euclidean Domains for Nonlinear OptimizationSweeping process with right uniformly lower semicontinuous mappingsDynamical Systems Coupled with Monotone Set-Valued Operators: Formalisms, Applications, Well-Posedness, and StabilitySome results associated to first-order set-valued evolution problems with subdifferentialsAlmost mixed semi-continuous perturbation of Moreau's sweeping processThe Minimum Time Function for the Controlled Moreau's Sweeping ProcessProjection-based integrators for improved motion control: formalization, well-posedness and stability of hybrid integrator-gain systemsExistence of slow solutions for a class of differential inclusionsExistence and Lyapunov pairs for the perturbed sweeping process governed by a fixed setOn multivalued evolution equations in Hilbert spacesUnnamed ItemDistributed coordination for nonsmooth convex optimization via saddle-point dynamicsMultivalued mappingsOn two-parameter global bifurcation of periodic solutions to a class of differential variational inequalities



Cites Work


This page was built for publication: An existence theorem for a class of differential equations with multivalued right-hand side