共查询到20条相似文献,搜索用时 15 毫秒
1.
The problem on the existence of a positive in the interval ]a, b[ solution of the boundary value problem
is considered, where the functions f and
satisfy the local Carathéodory conditions. The possibility for the functions f and g to have singularities in the first argument (for t = a and t = b) and in the phase variable (for u = 0) is not excluded. Sufficient and, in some cases, necessary and sufficient conditions for the solvability of that problem are established. 相似文献
2.
Sufficient conditions are found for the global solvability of the weighted Cauchy problem
where f : C([a, b]; R
n) L
loc([a, b]; R
n) is a singular Volterra operator, c
0
R
n, h : [a, b] [0, +] is a function continuous and positive on [a, b], and · is the norm in R
n. 相似文献
3.
一类Φ-Laplacian多点边值问题的可解性 总被引:1,自引:0,他引:1
代祖华 《数学的实践与认识》2005,35(4):188-196
获得了一类Φ-Laplacian多点边值问题((u′) )′=f (t,u,u′) ,0 相似文献
4.
5.
This paper deals with the solvability of boundary value problems for singular integral equations of the form (i)-(ii).By an algebraic method we reduce the problem (i)-(ii) to a system of linear algebraic equations which gives all solutions in a closed form.AMS Subject Classification: 47G05, 45GO5, 45E05 相似文献
6.
Effective sufficient conditions are established for the solvability and unique solvability of the boundary value problem
where
is a matrix-function with bounded variation components,
is a vector-function belonging to the Carathéodory class corresponding to
are continuous functionals (in general nonlinear) defined on the set of all vector-functions of bounded variation. 相似文献
7.
谢馥芬 《数学的实践与认识》2012,42(23)
通过构造修正函数并结合降阶法,得到了一类变号奇异分数阶微分方程边值问题多个正解的存在性,其中,非线性项含有未知函数的分数阶导数且允许变号最后也给出一个例子说明主要结果的应用. 相似文献
8.
By constructing suitable Banach space.an existence theorem is established under a condition of linear growth for the third-order boundary value problem u'"(t) f(t,u(t),t'(t),u"(t))=0,0<t<1,u(0)=u'(0)=u'(1)=0,where the nonlinear term contains first and second derivatives of unknown function.In this theorem the nonlinear term f(t,u,v,w)may be singular at t=0 and t=1.The main ingredient is Leray-Schauder nonlinear alternative. 相似文献
9.
Stevo Stevi Bratislav Iri
anin Witold Kosmala Zdenk marda 《Mathematical Methods in the Applied Sciences》2019,42(5):1687-1701
Some formulas for well‐defined solutions to four very special cases of a nonlinear fifth‐order difference equation have been presented recently in this journal, where some of them were proved by the method of induction, some are only quoted, and no any theory behind the formulas was given. Here, we show in an elegant constructive way how the general solution to the difference equation can be obtained, from which the special cases very easily follow, which is also demonstrated here. We also give some comments on the local stability results on the special cases of the nonlinear fifth‐order difference equation previously publish in this journal. 相似文献
10.
11.
本文研究下面一类带有分数阶积分边值条件的分数阶微分方程cDα0+u(t)=f(t,u(t),cDβ0+u(t)),0相似文献
12.
利用锥压缩和锥拉伸不动点定理,研究一类带p-L ap lacian算子的奇异脉冲微分方程两点边值问题正解的存在性. 相似文献
13.
具有摄动边界薄膜振动Robin问题的可解性研究 总被引:1,自引:0,他引:1
欧阳成 《数学的实践与认识》2009,39(23)
研究了一个具有摄动边界薄膜振动的R ob in问题,利用参数变形法及问题的可解性条件,得到了该问题非退化的振动频率与振动模态. 相似文献
14.
This paper is devoted to study the following the singularly perturbed fourth-order ordinary differential equation ∈y(4) =f(t,y',y'',y'''),0t1,0ε1 with the nonlinear boundary conditions y(0)=y'(1)=0,p(y''(0),y'''(0))=0,q(y''(1),y'''(1))=0 where f:[0,1]×R3→R is continuous,p,q:R2→R are continuous.Under certain conditions,by introducing an appropriate stretching transformation and constructing boundary layer corrective terms,an asymptotic expansion for the solution of the problem is obtained.And then the uniformly validity of solution is proved by using the differential inequalities. 相似文献
15.
本文证明了方程div(|Du|p-2Du) f(r.u(r),u'(r))=0(R1<r<R0)正对称解的存在性.这里f允许在u=0或。u’=0处奇异. 相似文献
16.
This paper considers the following boundary value problems for functional differential equations: x' (t) = f(t, xt) (0相似文献
17.
Existence and Multiplicity of Positive Solutions for a Singular Nonlinear High Order Fractional Differential Problem with Multi-point Boundary Conditions 下载免费PDF全文
In this paper, a singular nonlinear high order fractional differential
problem involving multi-point boundary conditions is solved by means
of the fixed point index theory. Some properties of the first eigenvalue
corresponding to relevant operator and some new height functions are also
used to prove the existence and multiplicity of positive solutions. The
nonlinearity depends on arbitrary fractional derivative. 相似文献
18.
If Y is a subset of the space ℝn × ℝn, we call a pair of continuous functions U, V Y-compatible, if they map the space ℝn into itself and satisfy Ux · Vy ≥ 0, for all (x, y) ∈ Y with x · y ≥ 0. (Dot denotes inner product.) In this paper a nonlinear two point boundary value problem for a second order ordinary
differential n-dimensional system is investigated, provided the boundary conditions are given via a pair of compatible mappings. By using
a truncation of the initial equation and restrictions of its domain, Brouwer's fixed point theorem is applied to the composition
of the consequent mapping with some projections and a one-parameter family of fixed points P
δ is obtained. Then passing to the limits as δ tends to zero the so-obtained accumulation points are solutions of the problem. 相似文献
19.
E. I. Moiseev 《Differential Equations》2001,37(11):1643-1646
20.
On a bounded C
2-domain
we consider the singular boundary-value problem 1/2u=f(u) in D, u
D
=, where d3, f:(0,)(0,) is a locally Hölder continuous function such that f(u) as u0 at the rate u
–, for some (0,1), and is a non-negative continuous function satisfying certain growth assumptions. We show existence of solutions bounded below by a positive harmonic function, which are smooth in D and continuous in
. Such solutions are shown to satisfy a boundary Harnack principle. 相似文献