Results 11 to 20 of about 434 (153)
Electronic Journal of Differential Equations, 2006 In this paper, we establish an equivalent statement to minimax inequality for a special class of functionals. As an application, we prove the existence of three solutions to the Dirichlet problem $$displaylines{ -u''(x)+m(x)u(x) =lambda f(x,u(x)
Ghasem Alizadeh Afrouzi +1 more
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Existence of Solutions to Boundary Value Problems for the Discrete Generalized Emden-Fowler Equation [PDF]
Discrete Dynamics in Nature and Society, 2009 We consider the existence of solutions to boundary value problems for the discrete generalized Emden-Fowler equation. By means of the minimax methods in the critical point theory, some new results are obtained.
Tieshan He, Fengjian Yang
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Journal of Mathematics, 2021 In this paper, we study the quadratic cost minimax optimal control problems for a semilinear viscoelastic equation with long memory. A global well-posedness theorem regarding the solutions to its Cauchy problem is given.
Jin-soo Hwang
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Existence of Solutions for Nonhomogeneous Choquard Equations Involving p-Laplacian
Mathematics, 2019 This paper is devoted to investigating a class of nonhomogeneous Choquard equations with perturbation involving p-Laplacian. Under suitable hypotheses about the perturbation term, the existence of at least two nontrivial solutions for the given problems ...
Xiaoyan Shi, Yulin Zhao, Haibo Chen
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Homoclinic Solutions for a Second-Order Nonperiodic Asymptotically Linear Hamiltonian Systems [PDF]
Abstract and Applied Analysis, 2013 We establish a new existence result on homoclinic solutions for a second-order nonperiodic Hamiltonian systems. This homoclinic solution is obtained as a limit of solutions of a certain sequence of nil-boundary value problems which are obtained by the ...
Qiang Zheng
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Existence of two nontrivial solutions for semilinear elliptic problems
Electronic Journal of Differential Equations, 2006 This paper concerns the existence of multiple nontrivial solutions for some nonlinear problems. The first nontrivial solution is found using a minimax method, and the second by computing the Leray-Schauder index and the critical group near 0.
Abdel R. El Amrouss +2 more
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Journal of Nonlinear Sciences and Applications, 2010 In this paper, we establish an equivalent statement of minimax inequality for a special class of functionals. As an application, a result for the existence of three solutions to the Dirichlet problem ‰ i(ju 0 j pi2 u 0 ) 0 = ‚f(x;u); u(a) = u(b) = 0; where f : (a;b) £ R ! R is a continuous function, p > 1 and ‚ > 0, is emphasized.
G.A. AFROUZI +3 more
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Minimax optimal control problems for an extensible beam equation with uncertain initial velocity
Boundary Value Problems, 2023 This paper is devoted to the problem of minimax optimal control problems of an extensible beam equation with distributed controls and initial velocity disturbances (or noises).
Jin-soo Hwang
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GAN‐LSTM‐3D: An efficient method for lung tumour 3D reconstruction enhanced by attention‐based LSTM
CAAI Transactions on Intelligence Technology, EarlyView., 2023 Abstract Three‐dimensional (3D) image reconstruction of tumours can visualise their structures with precision and high resolution. In this article, GAN‐LSTM‐3D method is proposed for 3D reconstruction of lung cancer tumours from 2D CT images. Our method consists of three phases: lung segmentation, tumour segmentation, and tumour 3D reconstruction. Lung
Lu Hong +12 more
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CAAI Transactions on Intelligence Technology, EarlyView., 2023 Abstract Autonomous vehicles are required to operate in an uncertain environment. Recent advances in computational intelligence techniques make it possible to understand driving scenes in various environments by using a semantic segmentation neural network, which assigns a class label to each pixel.
Yining Hua +4 more
wiley +1 more source