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
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
Controllability (93B05) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Methods involving semicontinuity and convergence; relaxation (49J45) Differential equations in abstract spaces (34G99)
Related Items (62)
Lyapunov functions for evolution variational inequalities with uniformly prox-regular sets ⋮ The replicator dynamics of generalized Nash games ⋮ Perturbed evolution problems with absolutely continuous variation in time and applications ⋮ Mixed semicontinuous perturbations of nonconvex sweeping processes ⋮ Construction of population growth equations in the presence of viability constraints ⋮ Viscosity solutions for partial differential equations with Neumann type boundary conditions and some aspects of Aubry-Mather theory ⋮ Regularization of differential variational inequalities with locally prox-regular sets ⋮ On the Solution Set of Differential Inclusions with State Constraints ⋮ Sweeping processes with prescribed behavior on jumps ⋮ Multivalued perturbations of subdifferential type evolution equations in Hilbert spaces ⋮ Nonlocal problem for differential complementarity systems ⋮ Well-posedness, stability and invariance results for a class of multivalued Lur'e dynamical systems ⋮ Differential inclusions with state constraints ⋮ Stability and robustness for saddle-point dynamics through monotone mappings ⋮ Projection Process with Definable Right-Hand Side ⋮ Monotone evolution of resource allocations ⋮ On evolution quasi-variational inequalities and implicit state-dependent sweeping processes ⋮ Slow and Quasi-slow solutions of differential inclusions ⋮ Dynamics of vaccination strategies via projected dynamical systems ⋮ Learning in monotone Bayesian games ⋮ Existence solutions for a couple of differential inclusions involving maximal monotone operators ⋮ Sweeping process with regular and nonregular sets. ⋮ Double-layered dynamics: a unified theory of projected dynamical systems and evolutionary variational inequalities ⋮ On sweeping process with the cone of limiting normals. ⋮ Nonpivot and implicit projected dynamical systems on Hilbert spaces ⋮ A continuous gradient-like dynamical approach to Pareto-optimization in Hilbert spaces ⋮ A dynamic gradient approach to Pareto optimization with nonsmooth convex objective functions ⋮ Maximum descent monotone solutions of an ordinary differential equation with a discontinuous right-hand side ⋮ Unnamed Item ⋮ Stability with regime switching ⋮ Optimal control of differential inclusions with state constraints ⋮ Regularization of nonconvex sweeping process in Hilbert space ⋮ Convex sweeping process in the framework of measure differential inclusions and evolution variational inequalities ⋮ Nonconvex sweeping process with a moving set depending on the state ⋮ On smoothness of solutions to projected differential equations ⋮ Monotonicity and existence of periodic orbits for projected dynamical systems on Hilbert spaces ⋮ Existence of solutions for a second order boundary value problem with the Clarke subdifferential ⋮ Differential variational inequalities ⋮ Stability and invariance results for a class of non-monotone set-valued Lur’e dynamical systems ⋮ Convex valued geodesics and applications to sweeping processes with bounded retraction ⋮ Projected dynamical systems and evolutionary variational inequalities via Hilbert spaces with applications ⋮ Approximating saddle points as equilibria of differential inclusions ⋮ On the equivalence between complementarity systems, projected systems and differential inclusions ⋮ Reflected dynamics: viscosity analysis for \(\mathbb{L}^\infty\) cost, relaxation and abstract dynamic programming ⋮ A unifying convex analysis and switching system approach to consensus with undirected communication graphs ⋮ Monotone trajectories of multivalued dynamical systems ⋮ Nonsmooth dynamics of generalized Nash games ⋮ The projection dynamic and the geometry of population games ⋮ Projected Dynamical Systems on Irregular, Non-Euclidean Domains for Nonlinear Optimization ⋮ Sweeping process with right uniformly lower semicontinuous mappings ⋮ Dynamical Systems Coupled with Monotone Set-Valued Operators: Formalisms, Applications, Well-Posedness, and Stability ⋮ Some results associated to first-order set-valued evolution problems with subdifferentials ⋮ Almost mixed semi-continuous perturbation of Moreau's sweeping process ⋮ The Minimum Time Function for the Controlled Moreau's Sweeping Process ⋮ Projection-based integrators for improved motion control: formalization, well-posedness and stability of hybrid integrator-gain systems ⋮ Existence of slow solutions for a class of differential inclusions ⋮ Existence and Lyapunov pairs for the perturbed sweeping process governed by a fixed set ⋮ On multivalued evolution equations in Hilbert spaces ⋮ Unnamed Item ⋮ Distributed coordination for nonsmooth convex optimization via saddle-point dynamics ⋮ Multivalued mappings ⋮ On 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