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A Family of the Inertial Manifolds for a Class of Generalized Kirchhoff-Type Coupled Equations

A Family of the Inertial Manifolds for a Class of Generalized Kirchhoff-Type Coupled Equations
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摘要 The paper considers the long-time behavior for a class of generalized high-order Kirchhoff-type coupled equations, under the corresponding hypothetical conditions, according to the Hadamard graph transformation method, obtain the equivalent norm in space , and we obtain the existence of a family of the inertial manifolds while such equations satisfy the spectral interval condition. The paper considers the long-time behavior for a class of generalized high-order Kirchhoff-type coupled equations, under the corresponding hypothetical conditions, according to the Hadamard graph transformation method, obtain the equivalent norm in space , and we obtain the existence of a family of the inertial manifolds while such equations satisfy the spectral interval condition.
作者 Guoguang Lin Jiaying Zhou Guoguang Lin;Jiaying Zhou(Department of Mathematics, Yunnan University, Kunming, China)
出处 《Open Journal of Applied Sciences》 CAS 2022年第7期1116-1127,共12页 应用科学(英文)
关键词 Kirchhoff-Type Coupled Equations Spectral Interval Condition A Family of the Inertial Manifolds Kirchhoff-Type Coupled Equations Spectral Interval Condition A Family of the Inertial Manifolds
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