The dirichlet boundary value problems for strongly singular higher-order nonlinear functional-differential equations
نویسندگان
چکیده
منابع مشابه
Singular Higher Order Boundary Value Problems for Ordinary Differential Equations
This paper is somewhat of an extension of the recent work done by Kunkel [6]. Kunkel looked at an extension of Rachu̇nková and Rachu̇nek’s work where they studied a second order singular boundary value problem for the discrete p-Laplacian, φp(x) = |x|x [7]. Kunkel’s results extend theirs to the second order differential case, but only for p = 2, i.e. φ2(x) = x. In this paper, we extend Kunkel’s w...
متن کاملThe Dirichlet and Focal Boundary Value Problems for Higher Order Quasi-halflinear Singular Differential Equations
For higher order quasi-halflinear singular differential equations, the Dirichlet and focal boundary value problems are considered. Analogues of the Fredholm first theorem are proved and on the basis of these results optimal in some sense sufficient conditions of solvability of the above-mentioned problems are found. îâäæñéâ. éŽôŽèæ îæàæï çãŽäæ êŽýâãîŽáûîòæãæ ïæêàñèŽîñèæ áæòâîâêùæŽèñîæ àŽêðëèâIJ...
متن کاملNonlocal Boundary Value Problem for Strongly Singular Higher-Order Linear Functional-Differential Equations
For strongly singular higher-order differential equations with deviating arguments, under nonlocal boundary conditions, Agarwal-Kiguradze type theorems are established, which guarantee the presence of the Fredholm property for the problems considered. We also provide easily verifiable conditions that guarantee the existence of a unique solution of the problem. 2000 Mathematics Subject Classific...
متن کاملExistence of Positive Solutions for Boundary-value Problems for Singular Higher-order Functional Differential Equations
We study the existence of positive solutions for the boundaryvalue problem of the singular higher-order functional differential equation (Ly(n−2))(t) + h(t)f(t, yt) = 0, for t ∈ [0, 1], y(0) = 0, 0 ≤ i ≤ n− 3, αy(n−2)(t)− βy(n−1)(t) = η(t), for t ∈ [−τ, 0], γy(n−2)(t) + δy(n−1)(t) = ξ(t), for t ∈ [1, 1 + a], where Ly := −(py′)′ + qy, p ∈ C([0, 1], (0,+∞)), and q ∈ C([0, 1], [0,+∞)). Our main to...
متن کاملOn Singular Boundary Value Problems for Functional Differential Equations of Higher Order
Sufficient conditions are established for the solvability of the boundary value problem x(t) = f(x)(t), hi(x) = 0 (i = 1, . . . , n), where f is an operator (hi (i = 1, . . . , n) are operators) acting from some subspace of the space of (n − 1)-times differentiable on the interval ]a, b[ m-dimensional vector functions into the space of locally integrable on ]a, b[ m-dimensional vector functions...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Czechoslovak Mathematical Journal
سال: 2013
ISSN: 0011-4642,1572-9141
DOI: 10.1007/s10587-013-0016-2