[PDF] Top 20 Positive solution of singular BVPs for a system of dynamic equations on time scales

... Under the general form of problem (P), it included the Emden-Fowler equation which arises, for example, in astrophysics in relation to the stellar structure (gaseous dynamics). In this case, the fundamental problem is to ... See full document

... of time scale in 1990 in order to unify the theory of continuous and discrete ...of dynamic equations on time scale contains, links, and extends the classical theory of differential and ... See full document

... arises in the study of gas dynamics and fluids mechanics, and in the study of relativistic mechanics, nuclear physics, and chemically reacting system see, e.g., 1 and the references therein for the continuous ... See full document

... Let T be a closed nonempty subset of R, and let T have the subspace topology inherited from the Euclidean topology on R. In some of the current literature, T is called a time scale or measure chain. For notation, ... See full document

... of dynamic equations with positive and negative coefficients are mainly concentrated on differential equations or difference ...on dynamic equations with positive and negative ... See full document

... of positive solutions to multipoint boundary value problems on time scales has caught considerable attention; see ...on dynamic equations on time scales, one can see 1, ... See full document

... two positive solutions to a class of nonlinear first-order periodic boundary value problems of impulsive dynamic equations on time scales are ... See full document

... We investigate the exponential stability of the zero solution to a system of dynamic equa- tions on time scales. We do this by defining appropriate Lyapunov-type functions and then ... See full document

... Saker, “Oscillation of second-order forced nonlinear dynamic equations on time scales,” Electronic Journal of Qualitative Theory of Differential Equations, no.. Ridenhour, “Hamiltonian sy[r] ... See full document

... multiple positive solutions for boundary value problems recent ...differential equations, while others have studied the problem for difference equations, while still others have considered the problem ... See full document

... multiple positive solutions to a class of nonlinear first-order periodic boundary value problems of impulsive dynamic equations on time scales are ... See full document

... the dynamic equation ...triple positive solutions in the generalized boundary value problems ...a positive answer to this question by virtue of the Avery-Henderson fixed point theorem and the five ... See full document

... is equivalent to the boundedness of all its solutions. DaCunha in [] defined the con- cepts of uniform stability and uniform exponential stability. These two concepts in- volve the boundedness of the solutions of the ... See full document

... differential equations is emerging as an important area of investigation, since it is a lot richer than the corresponding theory of differential equations without impulse ...such equations may exhibit ... See full document

... Recently, there have been many papers working on the existence of positive solutions to boundary value problems for differential equations on time scales; see, for example, 1– 22. This has been ... See full document

... The purpose of this paper is to investigate further the singular BVP for delay higher- order dynamic equation 1.1. By the use of the fixed point theorem of cone expansion and compression type, results on ... See full document

... three positive solutions under suitable ...p-Laplacian dynamic equation on time scales but also the nonlinear term f is involved with the first-order delta derivative of the unknown ... See full document

... of dynamic equations on time scales has become a new important mathemat- ical branch [, ] since it was initiated by Hilger in  ...for dynamic equations on time ... See full document

... a time scale, for any a, b ∈ R −∞, ∞b > a, the interval a, b defined as a, b {t ∈ T | a ≤ t ≤ ...about dynamic equations on time scales, the reader may refer to 1–3 for an ... See full document

... for positive solutions of boundary value problem ...of positive solutions of p-Laplacian dynamic equations with the singularity that may occur at u 0, t 0, and t T in all ... See full document