Zobrazeno 1 - 10 of 25 pro vyhledávání: '"Lu-san Chen"'
3
Some nonoscillation theorems for the higher order nonlinear functional differential equations
Autor: Lu-San Chen
Publikováno v: Annali di Matematica Pura ed Applicata. 117:41-53
We investigate the equation $$\left( {r_{n - 1} \left( t \right)\left( {r_{n - 2} \left( t \right)\left( {...} \right)\left( {r_2 \left( t \right)\left( {r_1 \left( t \right)x'\left( t \right)} \right)'...} \right)'} \right)'} \right)' + a\left( t \r
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::be9565a3cf96d66233171dd1d23bcf5f
https://doi.org/10.1007/bf02417883
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4
Some integrodifferential inequalities in n-independent variables
Autor: Cheh-Chih Yeh, Lu-San Chen
Publikováno v: Proceedings of the Royal Society of Edinburgh: Section A Mathematics. 89:347-353
SynopsisThis note presents some integrodifferential inequalities in n-independent variables which are generalizations of the integrodifferential inequalities recently established by Pachpatte in two independent variables.
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::7ebd553e2188524ed90f56dfc387882f
https://doi.org/10.1017/s0308210500020345
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6
ON THE WEAK SOLUTIONS FOR THE CAUCHY PROBLEM OF PARABOLIC EQUATIONS WITH DISCONTINUOUS AND UNBOUNDED COEFFICIENTS (Dedicated to Professor Fan Ky on his 60th birthday)
Autor: LU-SAN, CHEN, JER-SAN, LIN, CHEH-CHIH, YEH
Publikováno v: Yokohama Mathematical Journal = 横濱市立大學紀要. D部門, 数学. 26:1-6
In this note we shall prove the uniqueness and existence of the weak solutions for the Cauchy problem: ＄Lu=f＄ for ＄(x, t)￥in R^{n}￥times(0,T＄] ＄u(x, 0)=u_{0}(x)￥in L_{1oc}^{2}(R^{n})＄ for ＄xeR^{n}＄ where the coefficients of ＄L
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=jairo_______::47fcfa1f6c0ba57f5fa65295b0e9c8f3
http://hdl.handle.net/10131/5393
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7
Note on asymptotic behavior of weak solutions of the Cauchy problem for some parabolic equations with unbounded coefficients
Autor: Lu-San Chen
Publikováno v: Annali di Matematica Pura ed Applicata. 121:207-215
Recently, Kuroda-Huang[3] starting from an integral equality, due to Aronson[1] treated asymptotic behavior of weak solutions of the Cauchy problem for an uniformly parabolic operator of the form: $$Lu \equiv \sum\limits_{i,j = 1}^n {\frac{\partial }
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::7e2c21aed27c01e21f7599bfdf988079
https://doi.org/10.1007/bf02412003
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8
On the oscillation of solutions of the equation $$[r(t)x^{(n - 1)} (t)]' + \delta \mathop \sum \limits_{i = 1}^m p_i (t) \varphi \left( {x[g_i (t)]} \right) = 0$$
Autor: Lu-San Chen
Publikováno v: Annali di Matematica Pura ed Applicata. 112:305-314
In this paper we are dealing with the oscillatory and asymptotic behavior of n-th order (n>1) retarded differential equations $$[r(t)x^{(n - 1)} (t)]' + \delta \mathop \sum \limits_{i = 1}^m p_i (t) \varphi \left( {x[g_i (t)]} \right) = 0$$ which con
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::af3733d3c8cf7f59a02062b8d842f123
https://doi.org/10.1007/bf02413489
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9
Necessary and sufficient conditions for asymptotic decay of oscillations in delayed functional equations
Autor: Cheh-Chih Yeh, Lu-San Chen
Publikováno v: Proceedings of the Royal Society of Edinburgh: Section A Mathematics. 91:135-145
SynopsisThis paper studies the equationwhere the differential operator Ln is defined byand a necessary and sufficient condition that all oscillatory solutions of the above equation converge to zero asymptotically is presented. The results obtained ex
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::1fef48b65ca0d6e9a56e7245aecdfc80
https://doi.org/10.1017/s0308210500012695
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