Results 11 to 20 of about 318,439 (262)
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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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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Causal difference equations with upper and lower solutions in the reverse order
Advances in Difference Equations, 2019 This paper is devoted to studying the existence conditions for difference equations involving causal operators in the presence of upper and lower solutions in the reverse order. To this end, we prove some new comparison theorems and develop the upper and
Wen-Li Wang, Jing-Feng Tian
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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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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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Existence of solutions for a class of elastic beam problems with simply supported ends
四川大学学报. 自然科学版, 2022 We in this paper study the existence of solutions for a class of elastic beam problems with simply supported ends. The proof of the main results is based on the method of lower and upper solutions and the Elias's inequality.
MA Ya-Wei, MA Ru-Yun
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Monotone iterative method for two-point fractional boundary value problems
Advances in Difference Equations, 2018 In this work, we deal with two-point Riemann–Liouville fractional boundary value problems. Firstly, we establish a new comparison principle. Then, we show the existence of extremal solutions for the two-point Riemann–Liouville fractional boundary value ...
Bo Tang, Jing Zhao, Zhenhai Liu
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