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EXISTENCE OF PERIODIC SOLUTIONS FOR A DIFFERENTIAL INCLUSION SYSTEMS INVOLVING THE p(t)-LAPLACIAN 被引量:4
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作者 葛斌 薛小平 周庆梅 《Acta Mathematica Scientia》 SCIE CSCD 2011年第5期1786-1802,共17页
We study a nonlinear periodic problem driven by the p(t)-Laplacian and having a nonsmooth potential (hemivariational inequalities). Using a variational method based on nonsmooth critical point theory for locally L... We study a nonlinear periodic problem driven by the p(t)-Laplacian and having a nonsmooth potential (hemivariational inequalities). Using a variational method based on nonsmooth critical point theory for locally Lipschitz functions, we first prove the existence of at least two nontrivial solutions under the generalized subquadratic and then establish the existence of at least one nontrivial solution under the generalized superquadratic. 展开更多
关键词 p(t)-Laplacian periodic solution variable exponent Sobolev space minimax principle generalized subdifferential local linking reduction method
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MULTIPLE SOLUTIONS FOR NONAUTONOMOUS SECOND ORDER PERIODIC SYSTEMS 被引量:1
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作者 Zdzislaw Denkowski Leszek Gasiński Nikolaos S.Papageorgiou 《Acta Mathematica Scientia》 SCIE CSCD 2010年第1期350-358,共9页
We study nonautonomonus second order periodic systems with a nonslnooth potential. Using the nonsmooth critical theory, we establish the existence of at least two nontrivial solutions. Our framework incorporates large... We study nonautonomonus second order periodic systems with a nonslnooth potential. Using the nonsmooth critical theory, we establish the existence of at least two nontrivial solutions. Our framework incorporates large classes of both subquadratic and superquadratic potentials at infinity. 展开更多
关键词 locally Lipschitz potential generalized subdifferentiM coercive functional critical point local linking theorem nonsmooth Palais-Smale condition multiple nontrivial solutions
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Whole-process design and experimental validation of landing gear lower drag stay with global/local linked driven optimization strategy 被引量:6
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作者 Chengwei FEI Haotian LIU +3 位作者 Zhengzheng ZHU Liqiang AN Shaolin LI Cheng LU 《Chinese Journal of Aeronautics》 SCIE EI CAS CSCD 2021年第2期318-328,共11页
Landing gear lower drag stay is a key component which connects fuselage and landing gear and directly effects the safety and performance of aircraft takeoff and landing. To effectively design the lower drag stay and r... Landing gear lower drag stay is a key component which connects fuselage and landing gear and directly effects the safety and performance of aircraft takeoff and landing. To effectively design the lower drag stay and reduce the weight of landing gear, Global/local Linked Driven Optimization Strategy(GLDOS) was developed to conduct the overall process design of lower drag stay in respect of optimization thought. The whole-process optimization involves two stages of structural conceptual design and detailed design. In the structural conceptual design, the landing gear lower drag stay was globally topologically optimized by adopting multiple starting points algorithm. In the detailed design, the local size and shape of landing gear lower drag stay were globally optimized by the gradient optimization strategy. The GLDOS method adopts different optimization strategies for different optimization stages to acquire the optimum design effect. Through the experimental validation, the weight of the optimized lower dray stay with the developed GLDOS is reduced by 16.79% while keeping enough strength and stiffness, which satisfies the requirements of engineering design under the typical loading conditions. The proposed GLDOS is validated to be accurate and efficient in optimization scheme and design cycles. The efforts of this paper provide a whole-process optimization approach regarding different optimization technologies in different design phases, which is significant in reducing structural weight and enhance design tp wid 1 precision for complex structures in aircrafts. 展开更多
关键词 Global/local linked driven optimization Landing gear Lower drag stay OPTIMIZATION Whole-process design
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An efficient lossy link localization approach for wireless sensor networks 被引量:1
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作者 Wen-yan CUI Xiang-ru MENG +2 位作者 Bin-feng YANG Huan-huan YANG Zhi-yuan ZHAO 《Frontiers of Information Technology & Electronic Engineering》 SCIE EI CSCD 2017年第5期689-707,共19页
Network fault management is crucial for a wireless sensor network(WSN) to maintain a normal running state because faults(e.g., link failures) often occur. The existing lossy link localization(LLL) approach usually inf... Network fault management is crucial for a wireless sensor network(WSN) to maintain a normal running state because faults(e.g., link failures) often occur. The existing lossy link localization(LLL) approach usually infers the most probable failed link set first, and then gives the fault hypothesis set. However, the inferred failed link set contains many possible failures that do not actually occur. That quantity of redundant information in the inferred set can pose a high computational burden on fault hypothesis inference, and consequently decreases the evaluation accuracy and increases the failure localization time. To address the issue, we propose the conditional information entropy based redundancy elimination(CIERE), a redundant lossy link elimination approach, which can eliminate most redundant information while reserving the important information. Specifically, we develop a probabilistically correlated failure model that can accurately reflect the correlation between link failures and model the nondeterministic fault propagation. Through several rounds of mathematical derivations, the LLL problem is transformed to a set-covering problem. A heuristic algorithm is proposed to deduce the failure hypothesis set. We compare the performance of the proposed approach with those of existing LLL methods in simulation and on a real WSN, and validate the efficiency and effectiveness of the proposed approach. 展开更多
关键词 Lossy link localization Redundancy eliminating algorithm Set-covering Wireless sensor networks(WSNs) Network diagnosis
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Periodic Solutions of Nonautonomous Second Order Hamiltonian Systems 被引量:1
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作者 Shi Xia LUAN An Min MAO 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2005年第4期685-690,共6页
In this paper, we develop the local linking theorem given by Li and Willein by replacing the Palais-Smale condition with a Cerami one, and apply it to the study of the existence of periodic solutions of the nonautonom... In this paper, we develop the local linking theorem given by Li and Willein by replacing the Palais-Smale condition with a Cerami one, and apply it to the study of the existence of periodic solutions of the nonautonomous second order Hamiltonian systems (H) ü+A(t)u+∨V(t, u)=0, u∈R^N, t∈R. We handle the case of superquadratic nonlinearities which differ from those used previously. Our results extend the theorems given by Li and Willem. 展开更多
关键词 Non-autonomous Hamiltonian systems Periodic solutions local linking Critical point theory Variational method
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