共查询到20条相似文献,搜索用时 15 毫秒
1.
Marian Kwapisz 《Aequationes Mathematicae》1992,43(2-3):191-197
Summary In the paper a discrete analog to the Volterra nonlinear integral equation is discussed. Weighted norms are used to find sufficient conditions that all solutions of such equations are elements of anl
p space.Some generalizations ofl
p spaces are also considered and the corresponding sufficient conditions are established. 相似文献
2.
Periodic and almost periodic solutions of nonlinear discrete Volterra equations with unbounded delay
The existence of periodic and almost periodic solutions of nonlinear discrete Volterra equations with unbounded delay is obtained by using stability properties of a bounded solution. 相似文献
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In this paper we are concerned with oscillatory functional differential equations (that is, those equations where all the solutions oscillate) under a numerical approximation. Our interest is in the preservation of qualitative properties of solutions under a numerical discretisation. We give conditions under which an equation is oscillatory, and consider whether the discrete schemes derived using linear ?-methods will also be oscillatory. We conclude with some general theory. 相似文献
5.
Robab Alikhani Fariba Bahrami Adel Jabbari 《Nonlinear Analysis: Theory, Methods & Applications》2012,75(4):1810-1821
In this paper, we introduce new solutions for fuzzy differential equations as mixed solutions, and prove the existence and uniqueness of global solutions for fuzzy initial value problems involving integro-differential operators of Volterra type. One example is also given by applying mixed solution concept to fuzzy linear differential equations for obtaining their global solutions. 相似文献
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Characteristic solutions of polynomial-like iterative equations 总被引:1,自引:0,他引:1
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This paper investigates the solvability of discrete Dirichlet boundary value problems by the lower and upper solution method. Here, the second-order difference equation with a nonlinear right hand side f is studied and f(t,u,v) can have a superlinear growth both in u and in v. Moreover, the growth conditions on f are one-sided. We compute a priori bounds on solutions to the discrete problem and then obtain the existence of at least one solution. It is shown that solutions of the discrete problem will converge to solutions of ordinary differential equations. 相似文献
9.
Massera type criteria are established for the existence of periodic solutions of linear and nonlinear dynamic equations on time scales. Some interesting properties of the exponential function on time scales are presented. Furthermore, a sufficient condition guaranteeing the boundedness of the solutions of the equation is presented. 相似文献
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The existence of a periodic solution to an impulsive differential inclusion being invariant with respect to a non-convex set of state constraints is established by the use a Lefschetz type fixed-point theorem for set-valued maps. 相似文献
11.
This paper discusses periodic boundary value problems of second-order impulsive differential equations. By using Schaeffer’s fixed-point theorem and monotone iterative technique, some existence results are obtained. 相似文献
12.
Sebastián Calzadillas 《Nonlinear Analysis: Theory, Methods & Applications》2010,72(11):3976-1745
We study existence and regularity of bounded mild solutions on the real line to perturbed integral equations with infinite delay in the space of almost periodic functions (in the Bohr sense), the space of compact almost automorphic functions, the space of almost automorphic functions and the space of asymptotically almost automorphic functions. 相似文献
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Taking advantage of a recent critical point theorem, the existence of infinitely many solutions for an anisotropic problem with a parameter is established. More precisely, a concrete interval of positive parameters, for which the treated problem admits infinitely many solutions, is determined without symmetry assumptions on the nonlinear data. Our goal was achieved by requiring an appropriate behavior of the nonlinear terms at zero, without any additional conditions. 相似文献
15.
Filippo Gazzola Raffaella Pavani 《Nonlinear Analysis: Theory, Methods & Applications》2011,74(17):6696-6711
We give strong theoretical and numerical evidence that solutions to some nonlinear fourth order ordinary differential equations blow up in finite time with infinitely many wild oscillations. We exhibit an explicit example where this phenomenon occurs. We discuss possible applications to biharmonic partial differential equations and to the suspension bridges model. In particular, we give a possible new explanation of the collapse of bridges. 相似文献
16.
A system of fractional evolution equations results from employing the tool of the Fractional Calculus and following the method used by Dirac to obtain his well-known equation from Klein–Gordon’s one. It represents a possible interpolation between Dirac and diffusion and wave equations in one space dimension. 相似文献
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An improved version of rectangular method (IRM) is introduced in this paper to numerically solve the stochastic Volterra equation (SVE). We focus on studying the order of error between the numerical and exact solutions, which is improved to O(h). Furthermore, an explicit form of the IRM scheme is introduced and its convergence is established. A numerical example has also been presented to show the feasibility of the methods. 相似文献
18.
N. Yu. Bakaev 《BIT Numerical Mathematics》1997,37(2):237-255
The maximum norm error estimates of the Galerkin finite element approximations to the solutions of differential and integro-differential
multi-dimensional parabolic problems are considered. Our method is based on the use of the discrete version of the elliptic-Sobolev
inequality and some operator representations of the finite element solutions. The results of the present paper lead to the
error estimates of optimal or almost optimal order for the case of simplicial Lagrangian piecewise polynomial elements. 相似文献
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By developing a new comparison result and using the monotone iterative technique, we are able to obtain existence of minimal and maximal solutions of periodic boundary value problems for second-order nonlinear impulsive integro-differential equations of mixed type. 相似文献