Articles written in Proceedings – Mathematical Sciences

• Existence of Positive Solutions for the System of Higher Order Two-Point Boundary Value Problems

In this paper, we establish the existence of at least one and two positive solutions for the system of higher order boundary value problems by using the Krasnosel'skii fixed point theorem.

• Positive Solutions for System of $2n$-th Order Sturm-Liouville Boundary Value Problems on time Scales

Intervals of the parameters 𝜆 and 𝜇 are determined for which there exist positive solutions to the system of dynamic equations

\begin{align*}(-1)^n u^{\Delta^{2n}}(t)+\lambda p(t) f(\upsilon(\sigma(t)))=0, &amp; t\in[a, b],\\ (-1)^n\upsilon^{\Delta^{2n}} (t) + \mu q(t)g (u(\sigma(t))) = 0, &amp; t\in [a, b],\end{align*}

satisfying the Sturm–Liouville boundary conditions

\begin{align*}&amp; \alpha_{i+1}u^{\Delta^{2i}}(a)-\beta_{i+1}u^{\Delta^{2i+1}}(a)=0, \gamma_{i+1}u^{\Delta^{2i}}(\sigma(b))+\delta_{i+1}u^{\Delta^{2i+1}}(\sigma(b))=0,\\ &amp; \alpha_{i+1}\upsilon^{\Delta^{2i}}(a)-\beta_{i+1}\upsilon^{\Delta^{2i+1}}(a)=0,\gamma_{i+1}\upsilon^{\Delta^{2i}}(\sigma(b))+\delta_{i+1}\upsilon^{\Delta^{2i+1}}(\sigma(b))=0,\end{align*}

for $0\leq i\leq n-1$. To this end we apply a Guo–Krasnosel’skii fixed point theorem.

• Existence of positive solutions for systems of second order multi-point boundary value problems on time scales

In this paper, we establish the existence of positive solutions for systems of second order multi-point boundary value problems on time scales by applying Guo– Krasnosel’skii fixed point theorem.

• # Editorial Note on Continuous Article Publication

Posted on July 25, 2019