Mappings for the First Order Asteroidal Resonance

On the Asteroidal Population of the First-Order Jovian Resonances

extensive set of trajectories in both resonances. Moreover, we have included the 4/3 resonance in our study. The frequency map analysis was applied to the fairly realistic models of the 2/1, 3/2, and 4/3 jovian resonances and the Figure 1 shows the basic characteristics of the first-order results were compared with the asteroidal distribution at these mean–motion resonances in the averaged, pla...

Order-type existence theorem for second order nonlocal problems at resonance

‎This paper gives an abstract order-type existence theorem for second order nonlocal boundary value problems at resonance and obtain existence criteria for at least two positive solutions‎, ‎where $f$ is a continuous function‎. ‎Our results generalize or extend related results in the literature and give a positive answer to the question raised in the literature‎. ‎An example is given to illustr...

On the second order first zagreb index

Inspired by the chemical applications of higher-order connectivity index (or Randic index), we consider here the higher-order first Zagreb index of a molecular graph. In this paper, we study the linear regression analysis of the second order first Zagreb index with the entropy and acentric factor of an octane isomers. The linear model, based on the second order first Zag...

Open Mappings Increasing Order

It is shown that an analog of Whyburn’s theorem saying that open mappings do not increase order of a point of locally compact metric spaces is not true if the Menger-Urysohn order is replaced by order in the classical sense. On the other hand, this analog is true, even for a wider class of confluent mappings, under an additional condition that the mapping is light and the domain continuum is he...

A method for solving first order fuzzy differential equation