State-dependent sweeping processes with Stieltjes derivative

Set-valued and variational analysis (49J53) Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) Ordinary differential inclusions (34A60) Generalized ordinary differential equations (measure-differential equations, set-valued differential equations, etc.) (34A06)

Cites Work

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State dependent sweeping process in \(p\)-uniformly smooth and \(q\)-uniformly convex Banach spaces
Convex sweeping process in the framework of measure differential inclusions and evolution variational inequalities
Theory and applications of first-order systems of Stieltjes differential equations
General existence principles for Stieltjes differential equations with applications to mathematical biology
Differential inclusions in nonsmooth mechanical problems. Shocks and dry friction
Measure functional differential equations and functional dynamic equations on time scales
Convex analysis and measurable multifunctions
Evolution problem associated with a moving convex set in Hilbert space
On parabolic quasi-variational inequalities and state-dependent sweeping processes
A new unification of continuous, discrete and impulsive calculus through Stieltjes derivatives
BV periodic solutions of an evolution problem associated with continuous moving convex sets
Measure differential inclusions: existence results and minimum problems
Solvability of non-semicontinuous systems of Stieltjes differential inclusions and equations
Stieltjes differential systems with nonmonotonic derivators
BV solutions of a convex sweeping process with local conditions in the sense of differential measures
Well-posedness results for abstract generalized differential equations and measure functional differential equations
Periodic boundary value problems involving Stieltjes derivatives
On first and second order linear Stieltjes differential equations
Continuous dependence results for set-valued measure differential problems
Uniqueness of a quasivariational sweeping process on functions of bounded variation
Set valued integrability in non separable Fréchet spaces and applications
Weak Compactness in L 1 (μ, X)
A Continuation Principle for Periodic BV-Continuous State-Dependent Sweeping Processes
Set-valued analysis
On integrals and derivates with respect to a function.
On periodic evolution equations governed by sweeping processes with multivalued perturbations

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