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The global existence of mild solutions for semilinear fractional Cauchy problems in the α-norm

Rong-Nian Wang; De-Han Chen; Yan Wang — 2012

Annales Polonici Mathematici

We study the local and global existence of mild solutions to a class of semilinear fractional Cauchy problems in the α-norm assuming that the operator in the linear part is the generator of a compact analytic C₀-semigroup. A suitable notion of mild solution for this class of problems is also introduced. The results obtained are a generalization and continuation of some recent results on this issue.

Existence and asymptotic behavior of solutions for weighted $p (t)$ -Laplacian system multipoint boundary value problems in half line.

Qiu, Zhimei; Zhang, Qihu; Wang, Yan — 2009

Journal of Inequalities and Applications [electronic only]

Existence and asymptotic behavior of solutions for weighted $p (t)$ -Laplacian integrodifferential system multipoint and integral boundary value problems in half line.

Wang, Yan; Guo, Yunrui; Zhang, Qihu — 2010

Journal of Inequalities and Applications [electronic only]

Ordering Cacti With $n$ Vertices and $k$ Cycles by Their Laplacian Spectral Radii

Shu-Guang Guo; Yan-Feng Wang — 2012

Publications de l'Institut Mathématique

Generalized Levitin-Polyak well-posedness of vector equilibrium problems.

Peng, Jian-Wen; Wang, Yan; Zhao, Lai-Jun — 2009

Fixed Point Theory and Applications [electronic only]

Common solutions of an iterative scheme for variational inclusions, equilibrium problems, and fixed point problems.

Peng, Jian-Wen; Wang, Yan; Shyu, David S.; Yao, Jen-Chih — 2008

Journal of Inequalities and Applications [electronic only]

Existence and global stability of periodic solution for delayed discrete high-order Hopfield-type neural networks.

Xiang, Hong; Yan, Ke-Ming; Wang, Bai-Yan — 2005

Discrete Dynamics in Nature and Society

Hopf bifurcation for a model of HIV infection of ${CD4}^{+}$ T cells with virus released delay.

Yang, Jun-Yuan; Wang, Xiao-Yan; Li, Xue-Zhi — 2011

Discrete Dynamics in Nature and Society

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Currently displaying 1 – 8 of 8

The global existence of mild solutions for semilinear fractional Cauchy problems in the α-norm

Existence and asymptotic behavior of solutions for weighted $p (t)$ -Laplacian system multipoint boundary value problems in half line.

Existence and asymptotic behavior of solutions for weighted $p (t)$ -Laplacian integrodifferential system multipoint and integral boundary value problems in half line.

Ordering Cacti With $n$ Vertices and $k$ Cycles by Their Laplacian Spectral Radii

Generalized Levitin-Polyak well-posedness of vector equilibrium problems.

Common solutions of an iterative scheme for variational inclusions, equilibrium problems, and fixed point problems.

Existence and global stability of periodic solution for delayed discrete high-order Hopfield-type neural networks.

Hopf bifurcation for a model of HIV infection of ${CD4}^{+}$ T cells with virus released delay.