Results 11 to 20 of about 24,237 (256)

A symmetric solution of a multipoint boundary value problem at resonance

Abstract and Applied Analysis, 2006
We apply a coincidence degree theorem of Mawhin to show the existence of at least one symmetric solution of the nonlinear second-order multipoint boundary value problem u ″
Nickolai Kosmatov
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Nonlinear Discrete Periodic Boundary Value Problems at Resonance [PDF]

Advances in Difference Equations, 2009
Let \(T\in {\mathbb N}\) be an integer with \(T>2\), and \({\mathbb T}:=\{1,2,\dots,T\}\). The authors study the existence of solutions of nonlinear discrete problems \(\Delta ^{2}u(t-1)+\lambda _{k}a(t)u(t)+g(t,u(t))=h(t),\) \(t\in {\mathbb T},\) \(u(0)=u(T),\) \(u(1)=u(T+1),\) where \(a,\) \(h:{\mathbb T}\rightarrow {\mathbb R}\) with \(a>0 ...
Ruyun Ma, Huili Ma
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Solvability of Some Nonlocal Fractional Boundary Value Problems at Resonance in ℝⁿ

Fractal and Fractional, 2022
In this paper, the solvability of a system of nonlinear Caputo fractional differential equations at resonance is considered. The interesting point is that the state variable x∈Rn and the effect of the coefficient matrices matrices B and C of boundary ...
Yizhe Feng, Zhanbing Bai
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Boundary Value Problem for a Second-Order Difference Equation with Resonance [PDF]

Complexity, 2020
In this paper, we study the existence and multiplicity of nontrivial solutions of a second-order discrete boundary value problem with resonance and sublinear or superlinear nonlinearity. The main methods are based on the Morse theory and the minimax methods. In addition, some examples are given to illustrate our results.
Zhenguo Wang, Zhan Zhou
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A third order nonlocal boundary value problem at resonance

Electronic Journal of Qualitative Theory of Differential Equations, 2009
We consider the third-order nonlocal boundary value problem \begin{eqnarray*} &&u'''(t) = f(t, u(t)), \quad \mbox{a.e. in } (0, 1),\\ &&u(0) = 0, \, u'(\rho) = 0,\\ &&u''(1) = \lambda[u''], \end{eqnarray*} where $0 < \rho < 1,$ the nonlinear ...
E. Kaufmann
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On a superlinear elliptic boundary value problem at resonance [PDF]

Proceedings of the American Mathematical Society, 1979
Semilinear partial differential equations of the type − Δ
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Solutions to nonlocal Neumann boundary value problems

Electronic Journal of Qualitative Theory of Differential Equations, 2018
In this paper we study the nonlocal Neumann boundary value problem of the following form $$ u'' =f(t,u,u'),\quad u'(0)=0, \quad u'(1)=\int_{0 }^{1}u'(s)dg(s), $$ where $f:[0,1]\times\mathbb R^n\times\mathbb R^n\to\mathbb R^n$ and $g=\mbox{diag}(g_1 ...
Katarzyna Szymanska-Debowska
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Existence of Solutions for a Fractional Boundary Value Problem at Resonance

Armenian Journal of Mathematics, 2022
In this paper, we focus on the existence of solutions to a fractional boundary value problem at resonance. By constructing suitable operators, we establish an existence theorem upon the coincidence degree theory of Mawhin.
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Solvability of a Third-Order Multipoint Boundary Value Problem at Resonance

Abstract and Applied Analysis, 2014
We discuss a third-order multipoint boundary value problem under some appropriate resonance conditions. By using the coincidence degree theory, we establish the existence result of solutions. The emphasis here is that the dimension of the linear operator
Zengji Du, Bensheng Zhao, Zhanbing Bai
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Existence of positive solutions of boundary value problem with integral boundary condition at resonance

Journal of Hebei University of Science and Technology, 2015
In view of the Leggett-Williams norm-type theorem due to O'Regan and Zima, by using the properties of the cone and Leray-Schauder degree in Banach space, the existence of positive solutions of the second order boundary value problem with integral ...
Weihua JIANG, Caixia YANG
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