Add to ORKGsummary:In this paper, we are concerned with the existence of solutions of the following multi-point boundary value problem consisting of the higher-order differential equation \[ x^{(n)}(t)=f(t,x(t),x^{\prime }(t),\dots ,x^{(n-1)}(t))+e(t)\,,\quad 0<t<1\,,\qquad \mathrm {{(\ast )}}\] and the following multi-point boundary value conditions \begin{align*}{1}{*}{-1} x^{(i)}(0)&=0\quad \mbox{for}\quad i=0,1,\dots ,n-3\,,\\ x^{(n-1)}(0)&=\alpha x^{(n-1)}(\xi )\,,\quad x^{(n-2)}(1)=\sum _{i=1}^m\beta _ix^{(n-2)}(\eta _i)\,. \tag{**}\end{align*} Sufficient conditions for the existence of at least one solution of the BVP $(\ast )$ and $(\ast \ast )$ at resonance are established. The results obtained generalize and complement those in [13, 14]. Thi...
Abstract. The existence of n positive solutions is established for second-order multi-point boundary...
AbstractThis paper is concerned with the problem of existence of a solution for the multi-point boun...
summary:By using Mawhin’s continuation theorem, we provide some sufficient conditions for the existe...
Abstract. In this paper, we are concerned with the existence of solutions of the following multi-poi...
AbstractThis paper deals with the existence of solutions for the following nth order multi-point bou...
AbstractBy means of Mawhin's continuation theorem, we study m-point boundary value problem at resona...
AbstractLet f : [0, 1]× Rn → R be a continuous function and e ∈ L1[0, 1]. Let βj (1 ≤ j ≤ m − 2) ∈ R...
In this article, we study the differential equation $$ (-1)^{n-p} x^{(n)}(t)=f(t,x(t),x'(t),dots,x^{...
Abstract. In this article, we study the differential equation (−1)n−px(n)(t) = f(t, x(t), x′(t),......
Abstract Using the theory of coincidence degree, we establish existence results of positive solution...
This paper investigates the existence of solutions for higher-order multipoint boundary value proble...
Abstract. In this article, we study a complete n-order differential equation subject to the (p, n − ...
summary:Based on the coincidence degree theory of Mawhin, we get a new general existence result for ...
It is difficult to study the existence of solutions for boundary value problems of differential equa...
summary:Based on the coincidence degree theory of Mawhin, we get a new general existence result for ...
Abstract. The existence of n positive solutions is established for second-order multi-point boundary...
AbstractThis paper is concerned with the problem of existence of a solution for the multi-point boun...
summary:By using Mawhin’s continuation theorem, we provide some sufficient conditions for the existe...
Abstract. In this paper, we are concerned with the existence of solutions of the following multi-poi...
AbstractThis paper deals with the existence of solutions for the following nth order multi-point bou...
AbstractBy means of Mawhin's continuation theorem, we study m-point boundary value problem at resona...
AbstractLet f : [0, 1]× Rn → R be a continuous function and e ∈ L1[0, 1]. Let βj (1 ≤ j ≤ m − 2) ∈ R...
In this article, we study the differential equation $$ (-1)^{n-p} x^{(n)}(t)=f(t,x(t),x'(t),dots,x^{...
Abstract. In this article, we study the differential equation (−1)n−px(n)(t) = f(t, x(t), x′(t),......
Abstract Using the theory of coincidence degree, we establish existence results of positive solution...
This paper investigates the existence of solutions for higher-order multipoint boundary value proble...
Abstract. In this article, we study a complete n-order differential equation subject to the (p, n − ...
summary:Based on the coincidence degree theory of Mawhin, we get a new general existence result for ...
It is difficult to study the existence of solutions for boundary value problems of differential equa...
summary:Based on the coincidence degree theory of Mawhin, we get a new general existence result for ...
Abstract. The existence of n positive solutions is established for second-order multi-point boundary...
AbstractThis paper is concerned with the problem of existence of a solution for the multi-point boun...
summary:By using Mawhin’s continuation theorem, we provide some sufficient conditions for the existe...