Results 21 to 30 of about 327,898 (294)
Existence and multiplicity results for first-order Stieltjes differential equations
Advanced Nonlinear Studies, 2022 In this article, we establish existence and multiplicity results for first-order Stieltjes differential equations satisfying a periodic boundary condition or an initial value condition.
Maia Lamiae +2 more
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Fractal and Fractional, 2021 The objective of this paper is to study the existence of extremal solutions for nonlinear boundary value problems of fractional differential equations involving the ψ−Caputo derivative CDa+σ;ψϱ(t)=V(t,ϱ(t)) under integral boundary conditions ϱ(a)=λIν;ψϱ ...
Abdelatif Boutiara +3 more
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Positive solutions of nonlinear fourth-order boundary-value problems with local and non-local boundary conditions [PDF]
, 2008 We establish new existence results for multiple positive solutions of fourth-order nonlinear equations which model deflections of an elastic beam. We consider the widely studied boundary conditions corresponding to clamped and hinged ends and many non ...
J. R. L. Webb +5 more
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On positive solutions of the Dirichlet problem involving the extrinsic mean curvature operator
Electronic Journal of Qualitative Theory of Differential Equations, 2016 In this paper, we are concerned with necessary conditions for the existence of positive solutions of the Dirichlet problem for the prescribed mean curvature equation in Minkowski space \begin{equation*} \begin{aligned} -\text{div}\left(\frac {\nabla u}{\
Ruyun Ma, Tianlan Chen, Hongliang Gao
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Singular Problems: An Upper and Lower Solution Approach
Journal of Mathematical Analysis and Applications, 2000 Consider the problem \[ (py')'+p(t)q(t)f(t,y)=0, \quad \lim_{t\to 0+}p(t)y'(t)=0,\;y(1)=0, \tag{1} \] where \(p\) can be zero at both end points \(0\) and \(1\), \(q\) can be singular at these points and \(f\in{\mathcal C}([0,1]\times (0,\infty))\) can have a singularity at \(y=0\). The authors assume the existence of a sequence of constants \(\rho_n\)
O'Regan, D., Agarwal, R.P.
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Third-order generalized discontinuous impulsive problems on the half-line
Mathematical Modelling and Analysis, 2021 In this paper, we improve the existing results in the literature by presenting weaker sufficient conditions for the solvability of a third-order impulsive problem on the half-line, having generalized impulse effects. More precisely, our nonlinearities do
Feliz Minhós, Rui Carapinha
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The method of upper and lower solutions for a Lidstone boundary value problem [PDF]
, 1986 summary:In this paper we develop the monotone method in the presence of upper and lower solutions for the $2$nd order Lidstone boundary value problem \[ u^{(2n)}(t)=f(t,u(t),u^{\prime \prime }(t),\dots ,u^{(2(n-1))}(t)),\quad ...
Gao, Ying +5 more
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Boundary Value Problems, 2020 In this paper, we present a theorem for some impulsive boundary problems with derivative dependence by the upper and lower solutions method. Using the theorem obtained, we consider the existence of positive solutions of some class of singular impulsive ...
Fengfei Jin, Baoqiang Yan
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A method of upper and lower solutions for functional differential inclusions [PDF]
International Journal of Stochastic Analysis, 2002 In this paper, a fixed point theorem for condensing maps combined with upper and lower solutions are used to investigate the existence of solutions for first order functional differential inclusions.
Benchohra, Mouffak, Ntouyas, Sotiris K.
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Upper and Lower Solutions for a Generalized Emden-Fowler Equation
Journal of Mathematical Analysis and Applications, 1994 The paper deals with the problem \(u''+ g(t,u)= 0\), \(u(0)= u(1)= 0\), where the function \(g\) can be singular at \(t=0\), \(t=1\) and \(u=0\). The authors prove the existence of positive solution of this problem, supposing in the main that nonlinearity has to become large enough when \(u\) goes to zero and singularity has to be small enough so that ...
HABETS P., ZANOLIN, Fabio
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