共查询到20条相似文献,搜索用时 9 毫秒
1.
By constructing a class of solutions to the integral inequality for t t0 large enough, where 0<A1a(τ)A2<+∞ and λ>1, that tend to zero as t→+∞ we address an open problem in the theory of nonlinear oscillations. 相似文献
2.
C.H. Ou 《Journal of Mathematical Analysis and Applications》2003,277(2):670-680
We study the second order Emden-Fowler equation
(E) 相似文献
3.
M. Bartušek M. Cecchi M. Marini 《Journal of Mathematical Analysis and Applications》2006,320(1):108-120
Necessary and sufficient conditions for the existence of at least one oscillatory solution of a second-order quasilinear differential equation are presented. These results yield also new conditions guaranteeing the coexistence of oscillatory and nonoscillatory solutions. Our approach is based on the asymptotic representation of solutions by means of a periodic function and of a suitable zero-counting function. 相似文献
4.
Some new results are given concerning the behavior of the oscillatory solutions of first or second order delay differential equations. These results establish that all oscillatory solutions x of a first or second order delay differential equation satisfy x(t)=O(v(t)) as t→∞, where v is a nonoscillatory solution of a corresponding first or second order linear delay differential equation. Some applications of the results obtained are also presented. 相似文献
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6.
Douglas R. Anderson 《Journal of Difference Equations and Applications》2013,19(5):407-421
Oscillation criteria are established for a second-order forced dynamic equation on time scales containing both delay and advance arguments. Moreover, the potentials are allowed to change sign. Several nontrivial examples from difference equations are provided to illustrate the easy application of the results. The theory can be applied to second-order dynamic equations regardless of the choice of delta or nabla derivatives. 相似文献
7.
Oleg Palumbíny 《Czechoslovak Mathematical Journal》1999,49(4):779-790
The paper deals with the oscillation of a differential equation L
4
y + P(t)L
2
y + Q(t)y 0 as well as with the structure of its fundamental system of solutions. 相似文献
8.
Oscillation criteria for second order forced ordinary differential equations with mixed nonlinearities 总被引:1,自引:0,他引:1
Yuan Gong Sun James S.W. Wong 《Journal of Mathematical Analysis and Applications》2007,334(1):549-560
We present new oscillation criteria for the second order forced ordinary differential equation with mixed nonlinearities:
9.
In this paper, criteria are established for the existence of periodic solutions to a second order sublinear neutral differential equation. Our method is based on careful a priori estimation and continuation theorem, and our sublinear condition is an improvement of the boundedness condition in some recent results. 相似文献
10.
Using the fixed point method we prove an existence result for positive solutions of nonlinear second order ordinary differential equations. An application to semilinear Schrödinger equations in exterior domains is also presented. Mathematics Subject Classification (2000) 34C10 相似文献
11.
Using the generalized Riccati technique and the averaging technique, new oscillation criteria for certain even order delay differential equation of the form
12.
Liqin Zhao 《Journal of Mathematical Analysis and Applications》2007,329(2):1127-1138
We give some sufficient conditions for the continuation of solutions for some nonlinear differential equations. As an application, we obtain a new criterion for the oscillation of solutions of the Liénard equation. 相似文献
13.
In this paper, existence criteria are established for the existence of periodic solutions of a second order sublinear differential equation with delay and forcing function. Our method is based on careful a priori estimation and continuation theorems, and our sublinear condition is an improvement of the boundedness condition in some recent results. 相似文献
14.
Let H, V be two real Hilbert spaces such that VH with continuous and dense imbedding, and let FC1(V) be convex. By using differential inequalities, a close-to-optimal ultimate bound of the energy is obtained for solutions in to u″+cu′+bu+F(u)=f(t) whenever . 相似文献
15.
A detailed analysis is made of the structure of positive solutions of fourth-order differential equations of the form
under the assumption that α, β are positive constants, p(t), q(t) are positive continuous functions on [a,∞), and p(t) satisfies
Mathematics Subject Classification (2000) 34C10, 34D05 相似文献
16.
Kwang Ho SHON 《中国科学A辑(英文版)》2007,50(6):786-800
In this paper, we investigate the existence and the form of subnormal solution for a class of second order periodic linear differential equations, estimate the growth properties of all solutions, and answer the question raised by Gundersen and Steinbart. 相似文献
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18.
The aim of this paper is to complement existing oscillation results for third-order neutral delay differential equations by establishing sufficient conditions for nonexistence of so-called Kneser solutions. Combining newly obtained results with existing ones, we attain oscillation of all solutions of the studied equations. 相似文献
19.
The asymptotic behavior of nonoscillatory solutions of the half-linear differential equation is studied. In particular, two Wronskian-type functions, which have some interesting properties, similar to the one of the Wronskian in the linear case, are given. Using these properties and suitable integral inequalities, the existence of the so-called intermediate solutions is examined and an open problem is solved. 相似文献
20.
In this paper, sufficient conditions are established for H-oscillation of solutions of the following impulsive vector parabolic differential equations with delays