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

  Cabada, Alberto; Saavedra López, Lorena (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 ...

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

  Berdyshev, Abdumauvlen S.; Birgebaev, Ahtai B.; Cabada, Alberto (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 ...

• Multiple Positive Solutions for Quadratic Integral Equations of Fractional Order 

  Ding, Hui-Seng; Liu, Man-Man; Nieto, Juan J (Hindawi, 2017)

  In this paper, the existence of multiple positive solutions for a class of quadratic integral equation of fractional order is obtained, by utilizing Avery-Henderson and Leggett-Williams multiple fixed point theorems on ...

• Lyapunov-type inequalities for a higher order fractional differential equation with fractional integral boundary conditions 

  Jleli, Mohamed; Nieto, Juan J; Samet, Bessem (Bolyai Institute, University of SzegedHungarian Academy of Sciences, 2017)

  New Lyapunov-type inequalities are derived for the fractional boundary value problem Daa u(t) + q(t)u(t) = 0, a <t <b, u(a) = u0(a) = … = u(n-2)(a) = 0, u(b) = Iaa (hu)(b), where n E IN, n > 2, n - 1 < <n, Daa ...

• Second order evolution equations with nonlocal conditions 

  Benchohra, Mouffak; Nieto, Juan J; Rezoug, Noreddine (De Gruyter, 2017)

  In this paper, we shall establish su cient conditions for the existence of solutions for second order semilinear functional evolutions equation with nonlocal conditions in Fréchet spaces. Our approach is based on the ...

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