Positive Solution
Existence of Solution and Positive Solution for a Nonlinear Third-Order -Point BVP
... Recently, third-order two-point or three-point boundary value problems BVPs have received much attention from many authors; see 2–10 and the references therein. In particular, Yao 10 employed the Leray-Schauder fixed ...
8
Positive solution for singular fractional differential equations involving derivatives
... Motivated by the work mentioned above, we consider the fractional order singular non- local BVP (.). In this paper, we establish the existence of a unique positive solution for BVP (.). The main tool ...
12
Properties of Positive Solution for Nonlocal Reaction-Diffusion Equation with Nonlocal Boundary
... The rest of this paper is organized as follows. In Section 2, we give the comparison principle and the local existence of a positive solution. Using sub- and supersolution methods, we will give the proof of ...
12
Positive solution for a class of coupled (p,q)-Laplacian nonlinear systems
... For completeness, we will consider concrete examples of coupled systems for which it is possible to apply our method to guarantee the existence of at least one positive solution. It will be clear in some of ...
13
Positive solution for boundary value problems with p-Laplacian in Banach spaces
... of positive solutions for boundary value problems with p-Lapla- cian in Banach ...discussing positive solution for boundary value problems in Banach ...
6
Existence of a positive solution for quasilinear elliptic equations with nonlinearity including the gradient
... A(x, y) = |y| p– y. Hence, our equation contains the p-Laplace equation as a special case. In the case where f does not depend on the gradient of u, there are many existence results because our equation has the ...
11
Structure of positive solution sets of differential boundary value problems
... the positive solution set of non-linear equations; the reader is referred to [, ] for other results concerning the structure of solution sets of non-linear ...a positive solution ...
12
Existence and uniqueness of positive solution to singular fractional differential equations
... Motivated by the works mentioned above, in this paper we aim to establish the existence and uniqueness of a positive solution to the BVP (.). Our work presented in this paper has the following features. ...
12
On the nonexistence of positive solution of some singular nonlinear integral equations
... r,u(r, 0) ∀ r > 0. (1.9) In [7] the problem (1.3), (1.4) is considered for N = 2 and for a function g continuous, nondecreasing and bounded below by the power function of order α with respect to the third variable and ...
10
Existence and persistence of positive solution for a stochastic turbidostat model
... A novel stochastic turbidostat model is investigated in this paper. The stochasticity in the model comes from the maximal growth rate influenced by white noise. Firstly, the existence and uniqueness of the positive ...
17
Existence of a positive solution for a-Laplacian semipositone problem
... of positive solution is very chal- lenging in the semipostone ...where positive solution is obtained for large λ when f is p-sublinear at ...a positive solution in a range of λ ...
5
Necessary and sufficient condition for the existence of positive solution to singular fractional differential equations
... Necessary and sufficient condition for the existence of positive solution to singular fractional differential equations Wang and Liu Advances in Difference Equations (2015) 2015 207 DOI 10 1186/s13662[.] ...
14
Positive solution of singular BVPs for a system of dynamic equations on time scales
... In the present paper, we present some results on time scales considering classical solu- tions which generalize the ones from the continuous case. The remainder of the paper is organized as follows. In Section , we ...
17
Positive solution of singular fractional differential system with nonlocal boundary conditions
... of positive solutions for a singular fractional differential system involving a nonlocal boundary condition which is given by a linear functional on C[0, 1] with a signed ...of positive solutions is ...
15
The Existence of Positive Solution to a Nonlinear Fractional Differential Equation with Integral Boundary Conditions
... of positive solutions for a class of nonlinear fractional differential equations with integral boundary conditions and have obtained some easily verifiable sufficient criteria which extend previous ...
14
Uniqueness and Parameter Dependence of Positive Solution of Fourth-Order Nonhomogeneous BVPs
... unique solution and then studied the dependence of this solution on the parameters λ and ...of positive solutions to a class of third-order three-point nonhomogeneous ...of positive solutions ...
9
1.On positive solution for a class of nonlinear elliptic systems with indefinite weights
... It is well known if J is bounded below and J has a minimizer on X , then this minimizer is a critical point of J. However, the Euler function J (u, v), associated with the problem (1.1), is not bounded below on the whole ...
14
Existence of a positive solution for a p-Laplacian equation with singular nonlinearities
... Abstract. In this paper, we study a class of boundary value prob- lem involving the p-Laplacian oprator and singular nonlinearities. We analyze the existence of a critical parameter λ ∗ such that the problem has at least ...
8
A positive solution of a p Laplace like equation with critical growth
... function a has an explicit form, the authors can use the concentration-compactness prin- ciple to achieve their results, too. But if a is an abstract function in problem (.), then the problem becomes more complicated ...
14
Monotone positive solution of a fourth-order BVP with integral boundary conditions
... monotone positive solutions for the problems (.), (.). Here, a solution x(t) of the BVP ...and positive if x (t) ≥ on [, ] and x(t) > on t ∈ (, ...
12