Zobrazeno 1 - 10
of 188
pro vyhledávání: '"34B08"'
Autor:
Infante, Gennaro, Lucisano, Paolo
We discuss the existence of eigenvalues for a third order boundary value problem subject to functional boundary conditions and higher order derivative dependence in the nonlinearities. We prove the existence of positive and negative eigenvalues and p
Externí odkaz:
http://arxiv.org/abs/2412.20985
Solvability of linear boundary-value problems for ordinary differential systems in the space $C^{n}$
Autor:
Soldatov, Vitalii
We study linear boundary-value problems for systems of first-order ordinary differential equations with the most general boundary conditions in the normed spaces of continuously differentiable functions on a finite closed interval. The boundary condi
Externí odkaz:
http://arxiv.org/abs/2412.20876
We study the {\it Hamiltonian elliptic system} \begin{eqnarray}\label{HS1-abstract} \left\{ \begin{aligned} -\Delta u & = \lambda |v|^{r-1}v +|v|^{p-1}v \qquad &\hbox{in} \ \ \Omega ,\\ -\Delta v & = \mu |u|^{s-1}u +|u|^{q-1}u \qquad &\hbox{in} \ \ \
Externí odkaz:
http://arxiv.org/abs/2412.10812
Autor:
Castro, Hernán, Proaño, Iván
In this paper we consider the following Sturm-Liouville equation \[ \left\{ \begin{aligned} -(x^{2\alpha}u'(x))'+u(x)&=f(x) && \text{in } (0,1],\\ u(1)&=0 \end{aligned} \right. \] where $\alpha<1$ is a nonzero real number and $f$ belongs to $L^p(0,1)
Externí odkaz:
http://arxiv.org/abs/2412.07875
Autor:
Soldatov, Vitalii
In the paper we develop a general theory of solvability of linear inhomogeneous boundary-value problems for systems of first-order ordinary differential equations in spaces of smooth functions on a finite interval. This problems are set with boundary
Externí odkaz:
http://arxiv.org/abs/2412.05613
Autor:
Mikhailets, Vladimir, Atlasiuk, Olena
The paper contains a review of results on linear systems of ordinary differential equations of an arbitrary order on a finite interval with the most general inhomogeneous boundary conditions in Sobolev spaces. The character of the solvability of such
Externí odkaz:
http://arxiv.org/abs/2411.15330
We provide a new version of the Poincar\'e-Birkhoff theorem for possibly multivalued successor maps associated with planar non-autonomous Hamiltonian systems. As an application, we prove the existence of periodic and subharmonic solutions of the scal
Externí odkaz:
http://arxiv.org/abs/2410.21045
In this work we discuss a Hamiltonian system of ordinary differential equations under Dirichlet boundary conditions. The system of equations in consideration features a mixed (concave-convex) power nonlinearity depending on a positive parameter $\lam
Externí odkaz:
http://arxiv.org/abs/2408.10630
In this paper we will study the set of parameters in which certain partial derivatives of the Green's function, related to a $n$-order linear operator $T_{n}[M]$, depending on a real parameter $M$, coupled to different two-point boundary conditions,
Externí odkaz:
http://arxiv.org/abs/2406.01509
Autor:
Cabada, Alberto, López-Somoza, Lucía
In this paper we obtain an explicit formula of the parameter dependence of the partial derivatives of the Green's functions related to two-point boundary conditions. Such expression follows as an integral of both kernels times the difference of the c
Externí odkaz:
http://arxiv.org/abs/2405.17320