共查询到20条相似文献,搜索用时 18 毫秒
1.
In this paper,we consider the singular boundary value problems for second order quasilinear ordinary differential equations and prove existence and convergence on second order perturbation terms.The result is applied to solve the Riemann problem for 2×2 hyperbolic conservation laws,which is a partial differential equation arising in applied mathematical area. 相似文献
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Daqing Jiang Xiaojie Xu Donal O’Regan Ravi P. Agarwal 《Czechoslovak Mathematical Journal》2005,55(2):483-498
In this paper we present some new existence results for singular positone and semipositone boundary value problems of second order delay differential equations. Throughout our nonlinearity may be singular in its dependent variable. 相似文献
3.
Yong-Hoon Lee 《Journal of Mathematical Analysis and Applications》2007,331(1):159-176
This paper studies the existence of extremal solutions for a class of singular boundary value problems of second order impulsive differential equations. By using the method of upper and lower solutions and the monotone iterative technique, criteria of the existence of extremal solutions are established. 相似文献
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In this paper, the existence of solution on a compact interval to second order impulsive functional differential inclusions is investigated. Several new results are obtained by using suitable fixed point theorem. 相似文献
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B. C. Dhage 《Applicable analysis》2013,92(9):953-970
This article studies the existence of solutions to boundary-value problems for second order multi-valued perturbed differential inclusions under the mixed Lipschitz and Carathéodory conditions. The existence of extremal solutions is also obtained under certain monotonicity conditions and the weaker nonconvexity conditions for multi-valued functions. 相似文献
6.
In this paper, we study a class of nonlinear value boundary problems for second order differential inclusions with nonlinear perturbations, which satisfy the generalized Hartman condition weaker than that considered in some papers. Using techniques from multivalued analysis, theory of monotone operators and fixed points, we prove the existence of solutions in both “convex” and “nonconvex” cases. Our framework can be incorporated with Dirichlet, Neumann, and mixed boundary problems. 相似文献
7.
Michal Fećkan 《Applications of Mathematics》1997,42(5):369-393
Ordinary differential inclusions depending on small parameters are considered such that the unperturbed inclusions are ordinary differential equations possessing manifolds of periodic solutions. Sufficient conditions are determined for the persistence of some of these periodic solutions after multivalued perturbations. Applications are given to dry friction problems. 相似文献
8.
研究了一类含双参数的非线性高阶微分方程的奇摄动问题.运用合成展开法构造了问题的形式渐近解,并运用微分不等式理论证明了原问题解的存在性及所得形式渐近解的一致有效性. 相似文献
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L. E. Bobisud 《Applicable analysis》2013,92(1-4):43-57
Existence of solutions to the two-point boundary value problem (p(t)y')' = q(t)f(t, y,p(t)y'), y(l) = 0, limt→0+ p(t)y'(t) = 0 is established under a variety of conditions. Here p(0) = 0 is allowed, and q is not assumed to be continuous at 0, so the problem may be doubly singular. In addition, the Dirichlet problem for this differential equation is investigated 相似文献
12.
We deal with the existence of periodic solutions for problems with a jump discontinuity. We use an approximation procedure and the method of the lower and upper solutions. 相似文献
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The article is concerned with the boundary controllability of non-linear stochastic differential inclusions in a Banach space. Sufficient conditions for the boundary controllability are obtained by using a fixed point theorem for condensing maps due to Leray–Schauder non-linear alternative. 相似文献
15.
In this paper we study a problem for a second order differential inclusion with Dirichlet, Neumann and mixed boundary conditions. The equation is driven by a nonlinear, not necessarily homogeneous, differential operator satisfying certain conditions and containing, as a particular case, the p-Laplacian operator. We prove the existence of solutions both for the case in which the multivalued nonlinearity has convex values and for the case in which it has not convex values. The presence of a maximal monotone operator in the equation make the results applicable to gradient systems with non-smooth, time invariant, convex potential and differential variational inequalities. 相似文献
16.
Tadeusz Jankowski 《Journal of Mathematical Analysis and Applications》2007,332(2):1380-1392
In this paper we deal with second order differential equations with causal operators. To obtain sufficient conditions for existence of solutions we use a monotone iterative method. We investigate both differential equations and differential inequalities. An example illustrates the results obtained. 相似文献
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We consider implicit integration methods for the solution of stiff initial value problems for second-order differential equations
of the special form y' = f(y). In implicit methods, we are faced with the problem of solving systems of implicit relations. This paper focuses on the construction
and analysis of iterative solution methods which are effective in cases where the Jacobian of the right‐hand side of the differential
equation can be split into a sum of matrices with a simple structure. These iterative methods consist of the modified Newton
method and an iterative linear solver to deal with the linear Newton systems. The linear solver is based on the approximate
factorization of the system matrix associated with the linear Newton systems. A number of convergence results are derived
for the linear solver in the case where the Jacobian matrix can be split into commuting matrices. Such problems often arise
in the spatial discretization of time‐dependent partial differential equations. Furthermore, the stability matrix and the
order of accuracy of the integration process are derived in the case of a finite number of iterations.
This revised version was published online in August 2006 with corrections to the Cover Date. 相似文献
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This paper investigates 2m-th (m ≥ 2) order singular p-Laplacian boundary value problems, and obtains the necessary and sufficient conditions for existence of positive solutions for sublinear 2m-th order singular p-Laplacian BVPs on closed interval. 相似文献