共查询到20条相似文献，搜索用时 15 毫秒
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The objective of this paper is to study asymptotic properties of the third-order neutral differential equation
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\left[ {a\left( t \right)\left( {\left[ {x\left( t \right) + p\left( t \right)x\left( {\sigma \left( t \right)} \right)} \right]^{\prime \prime } } \right)^\gamma } \right]^\prime + q\left( t \right)f\left( {x\left[ {\tau \left( t \right)} \right]} \right) = 0, t \geqslant t_0 . \left( E \right)
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\left[ {a\left( t \right)\left( {\left[ {x\left( t \right) + p\left( t \right)x\left( {\sigma \left( t \right)} \right)} \right]^{\prime \prime } } \right)^\gamma } \right]^\prime + q\left( t \right)f\left( {x\left[ {\tau \left( t \right)} \right]} \right) = 0, t \geqslant t_0 . \left( E \right)
相似文献
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Manabu Naito 《Journal of Mathematical Analysis and Applications》2011,381(1):315-327
In this paper second order quasilinear ordinary differential equations are considered, and a necessary and sufficient condition for the existence of a slowly growing positive solution is established. Moreover, the precise asymptotic forms as t→∞ of slowly growing positive solutions and slowly decaying positive solutions are obtained. 相似文献
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Klaus Schmitt 《Mathematische Zeitschrift》1967,98(3):200-207
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Bounded, monotonic, and asymptotic properties of solutions for a class of second order nonlinear differential equations are discussed. Some necessary and sufficient conditions for boundedness of all solutions are established. Moreover, all solutions are classified into four disjoint subsets which are characterized in terms of the convergence and divergence of several integrals. The obtained results extend and improve many known results of various authors. 相似文献
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On the existence of positive solutions of nonlinear second order differential equations 总被引：26，自引：0，他引：26
Wei-Cheng Lian Fu-Hsiang Wong Cheh-Chih Yeh 《Proceedings of the American Mathematical Society》1996,124(4):1117-1126
Under suitable conditions on , the boundary value problem
has at least one positive solution. Moreover, we also apply this main result to establish several existence theorems of multiple positive solutions for some nonlinear (elliptic) differential equations. 13.
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研究了一类二阶非线性阻尼微分方程解的振动性质.在一定条件下,建立了四个新的振动性定理,推广和改进了已知的结果. 相似文献
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Fozi M Dannan 《Journal of Mathematical Analysis and Applications》1985,108(1):151-164
Several integral inequalities similar to Gronwall-Bellmann-Bihari inequalities are obtained. These inequalities are used to discuss the asymptotic behavior of certain second order nonlinear differential equations. 相似文献
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N. N. Konechnaya 《Journal of Mathematical Sciences》2007,147(1):6430-6434
A class of (n+1)th-order homogeneous linear differential equations (n > 1) is found for which fundamental solutions can be constructed from fundamental solutions to second-order differential
equations. Asymptotic formulas for solutions to equations from this class are presented.
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Translated from Sovremennaya Matematika i Ee Prilozheniya (Contemporary Mathematics and Its Applications), Vol. 38, Suzdal
Conference-2004, Part 3, 2006. 相似文献
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Pui-Kei Wong 《Annali di Matematica Pura ed Applicata》1969,81(1):331-346
Summary In this paper we study the nonlinear fourth order differentiai equation uiv±F(u, v)u=0, where F is a pssitive monotone function of u. Asymptotic behaviour of certain solutions are treated in sections 2 and 4
while a two point boundary value problem is studied in section 3.
Entrata in Redazione il 26 agosto 1968. 相似文献
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