## Search

Now showing items 1-10 of 23

#### Existence, non-existence and multiplicity results for a third order eigenvalue three-point boundary value problem

(The International Scientific Research Publications (ISRP), 2017-10-28)

This paper provides sufficient conditions to guarantee the existence, non-existence and multiplicity of solutions for a third order eigenvalue fully differential equation, coupled with three point boundary value conditions. ...

#### Characterization of constant sign Green's function for a two-point boundary-value problem by means of spectral theory

(Texas State University, Department of Mathematics, 2017)

This article is devoted to the study of the parameter’s set where
the Green’s function related to a general linear nth-order operator, depending
on a real parameter, Tn[M], coupled with many different two point boundary
value ...

#### Multiple positive solutions to a fourth-order boundary-value problem

(Texas State University. Department of Mathematics, 2016)

We study the existence, localization and multiplicity of positive solutions for a nonlinear fourth-order two-point boundary value problem. The approach is based on critical point theorems in conical shells, Krasnosel’ski˘ı’s ...

#### On the Existence of Eigenvalues of a Boundary Value Problem with Transmitting Condition of the Integral Form for a Parabolic-Hyperbolic Equation

(MDPI, 2020)

In the paper, we investigate a local boundary value problem with transmitting condition of the integral form for mixed parabolic-hyperbolic equation with non-characteristic line of type changing. Theorem on strong solvability ...

#### On the smoothness of solutions of the third order nonlinear differential equation

(Springer, 2017)

In this work we study the following third order differential equation:
Ly := y + (q(x, y) + λ)y = f ∈ L2(R), R = (–∞,∞),λ > 0, where q(x, y) ≥ 1 is a continuous function in all its variables. We will deal with the following ...

#### Stability of periodic solutions of first-order difference equations lying between lower and upper solutions

(SpringerOpen, 2005)

We prove that if there exists α ≤ β, a pair of lower and upper solutions of the first-order
discrete periodic problem Δu(n) = f (n,u(n)); n ∈ IN ≡ {0, . . . ,N −1}, u(0) = u(N), with
f a continuous N-periodic function ...

#### The eigenvalue characterization for the constant sign Green’s functions of (k,n−k)(k,n−k) problems

(Springer International Publishing, 2016-02-11)

This paper is devoted to the study of the sign of the Green’s function related to a general linear nth-order operator, depending on a real parameter, Tn[M]Tn[M], coupled with the (k,n−k)(k,n−k) boundary value conditions.
If ...

#### Periodic solutions for some phi-Laplacian and reflection equations

(Springer International Publishing, 2016-02-29)

This work is devoted to the study of the existence and periodicity of solutions of initial differential problems, paying special attention to the explicit computation of the period. These problems are also connected with ...

#### Existence and uniqueness of solutions of higher-order antiperiodic dynamic equations

(SpringerOpen, 2004)

We prove existence and uniqueness results in the presence of coupled lower and upper
solutions for the general nth problem in time scales with linear dependence on the ith Δ-
derivatives for i = 1, 2, . . . ,n, together ...

#### An Existence Result for Nonlinear Fractional Differential Equations on Banach Spaces

(SpringerOpen, 2009)