Mixed Problem with an Integral Condition for the One-Dimensional Biwave Equation

被引:0
作者
V. I. Korzyuk
N. V. Vinh
机构
[1] National Academy of Sciences of Belarus,Institute of Mathematics
[2] Belarusian State University,University of Education
[3] Hue University,undefined
来源
Differential Equations | 2018年 / 54卷
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摘要
We consider a mixed problem for the one-dimensional biwave equation with boundary conditions and a nonlocal integral condition. We prove the existence and uniqueness of the classical solution of the problem and obtain an analytic representation of the solution.
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页码:799 / 810
页数:11
相关论文
共 27 条
[1]  
Korzyuk V.I.(2016)Classical solutions of mixed problems for the one-dimensional biwave equation Vestsi Akad. Navuk Belarusi Ser. Fiz.-Mat. Navuk 1 69-79
[2]  
Vinh N.V.(2016)Classical solution of a problem with integral condition for the onedimensional biwave equation Vestsi Akad. Navuk Belarusi Ser. Fiz.-Mat. Navuk 3 16-29
[3]  
Korzyuk V.I.(2010)Solution of the mixed problem for the biwave equation by the method of characteristics Tr. Inst. Mat. Nats. Akad. Nauk Belarusi 18 36-54
[4]  
Vinh N.V.(2016)Exact solutions for some fourth-order nonstrictly hyperbolic equations Nanosystems: Physics, Chemistry, Mathematics 7 869-879
[5]  
Korzyuk V.I.(2003)A mixed problem with an integral condition for a hyperbolic equation Math. Notes 74 411-421
[6]  
Cheb E.S.(2000)Solutions of nonlocal problems for one-dimensional medium vibrations Mat. Model. 12 94-103
[7]  
Le Thi T.(2004)A nonlocal problem with integral conditions for a hyperbolic equation Differ. Equations 40 947-953
[8]  
Korzyuk V.I.(2005)Boundary value problems with integral conditions for multidimensional hyperbolic equations Dokl. Math. 72 743-746
[9]  
Vinh N.V.(2007)Nonlocal problem with a first-kind integral condition for a multidimensional hyperbolic equation Dokl. Math. 76 741-743
[10]  
Pulkina L.S.(2008)Initial–boundary value problem with a nonlocal boundary condition for a multidimensional hyperbolic equation Differ. Equations 44 1119-1125