Infinitely Many Solutions for a Boundary Value Problem with Discontinuous Nonlinearities
Boundary Value Problems, 2009 The existence of infinitely many solutions for a Sturm-Liouville boundary value problem, under an appropriate oscillating behavior of the possibly discontinuous nonlinear term, is obtained. Several special cases and consequences are pointed out and some
Bisci GiovanniMolica, Bonanno Gabriele
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Multiple solutions to a class of inclusion problems with operator involving p(x)-Laplacian
Electronic Journal of Qualitative Theory of Differential Equations, 2013 In this paper, we prove the existence of at least two nontrivial solutions for a nonlinear elliptic problem involving p(x)-Laplacian-like operator and nonsmooth potentials.
Qing-Mei Zhou
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On nonsmooth multiobjective fractional programming problems involving (p, r)− ρ −(η ,θ)- invex functions [PDF]
Yugoslav Journal of Operations Research, 2013 A class of multiobjective fractional programming problems (MFP) is considered where the involved functions are locally Lipschitz. In order to deduce our main results, we introduce the definition of (p,r)−ρ −(η,θ)-invex class about the Clarke ...
Jayswal Anurag +2 more
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Infinitely Many Solutions for a Class of Fractional Boundary Value Problems with Nonsmooth Potential
Abstract and Applied Analysis, 2013 We establish the existence of infinitely many solutions for a class of fractional boundary value problems with nonsmooth potential. The technical approach is mainly based on a result of infinitely many critical points for locally Lipschitz functions.
Kaimin Teng
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Distributed convex optimization via proportional-integral-differential algorithm
Measurement + Control, 2022 This paper studies the distributed convex optimization problem, where the global utility function is the sum of local cost functions associated to the individual agents.
Wei Zhu, Haibao Tian
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A method for characterizing the solution set of nonconvex optimization problems via their dual problems [PDF]
تصمیم گیری و تحقیق در عملیات, 2019 In this paper, we present a method for charaterizing the solution set of nonconvex optimization problems via their dual problems. In fact, the constrainted optimization problem which is considerd has pseudoconvex and locally Lipschitz functions, which ...
Narges Araboljadidi
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Advanced Robotics Research, EarlyView.This work presents a state‐adaptive Koopman linear quadratic regulator framework for real‐time manipulation of a deformable swab tool in robotic environmental sampling. By combining Koopman linearization, tactile sensing, and centroid‐based force regulation, the system maintains stable contact forces and high coverage across flat and inclined surfaces.
Siavash Mahmoudi +2 more
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Continuity characterisations of differentiability of locally Lipschitz functions [PDF]
Bulletin of the Australian Mathematical Society, 1990 Recently David Preiss contributed a remarkable theorem about the differentiability of locally Lipschitz functions on Banach spaces which have an equivalent norm differentiable away from the origin. Using his result in conjunction with Frank Clarke's non-smooth analysis for locally Lipschitz functions, continuity characterisations of differentiability ...
Giles, J. R., Sciffer, Scott
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Programmable Flocks: Hierarchical Swarm Control via Dynamic Parameter Injection
Advanced Intelligent Systems, EarlyView.We present a method for the control of robot swarms which allows the shaping and the translation of patterns of simple robots (“smart particles”), using two types of devices. These two types represent a hierarchy: a larger group of simple, oblivious robots (which we call the workers) that is governed by simple local attraction forces and a smaller ...
Vivek Shankar Varadharajan +1 more
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Sufficient optimality conditions and duality for nonsmooth multiobjective optimization problems via higher order strong convexity [PDF]
Yugoslav Journal of Operations Research, 2017 In this paper, we define some new generalizations of strongly convex functions of order m for locally Lipschitz functions using Clarke subdifferential.
Upadhyay Balendu B. +2 more
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