Smita Pati
Birla Institute of Technology, Mesra
Network
Latest external collaboration on country level. Dive into details by clicking on the dots.
Publication
Featured researches published by Smita Pati.
Archive | 2014
Seshadev Padhi; Smita Pati
Preface.- Chapter 1: Introduction.- Chapter 2: Behaviour of Solutions of Linear Homogeneous Differential Equations of Third Order.- Chapter 3: Oscillation of Solutions of Linear Nonhomogeneous Differential Equations of Third Order.- Chapter 4: Oscillation and Nonoscillation of Homogeneous Third-order Nonlinear Differential Equations.- Chapter 5: Oscillation and Nonoscillation of Nonlinear Nonhomogeneous Differential Equations of Third Order.- Chapter 6: Oscillatory and Asymptotic Behavior of Solutions of Third Order Delay Differential Equations.- Chapter 7: Stability of Third Order Differential Equations.- References.
Journal of Difference Equations and Applications | 2010
Julio G. Dix; Seshadev Padhi; Smita Pati
We obtain sufficient conditions for the existence of at least three non-negative periodic solutions for the first order functional difference equation Our main tool is the Leggett–Williams fixed point theorem, and our main application is a hematopoiesis model in population dynamics.
Applicable Analysis | 2009
Seshadev Padhi; Smita Pati
Sufficient conditions have been obtained for the existence of at least two non-negative periodic solutions to a system of first-order nonlinear functional differential equations. Applications to some ecological models are given.
International Journal of Dynamical Systems and Differential Equations | 2009
Seshadev Padhi; Smita Pati; Shilpee Srivastava
Sufficient conditions have been obtained for the existence of at least three positive T-periodic solutions for the first order functional difference equations of the forms Δx(n) = −a(n)x(n) + λb(n)f(n, x(h(n))) and Δx(n) = a(n)x(n) − λb(n)f(n, x(h(n))). Leggett-Williams multiple fixed point theorem have been used to prove our results. We have applied our results to some mathematical models in population dynamics and obtained some interesting results. The results are new in the literature.
Fractional Calculus and Applied Analysis | 2018
Seshadev Padhi; John R. Graef; Smita Pati
Abstract In this paper, we study the existence of positive solutions to the fractional boundary value problem D0+αx(t)+q(t)f(t,x(t))=0,0<t<1,
Turkish Journal of Mathematics | 2017
Smita Pati; Seshadev Padhi
Archive | 2014
Seshadev Padhi; Smita Pati
\begin{array}{} \displaystyle D^{\alpha }_{0+}x(t)+q(t)f(t,x(t))=0, \,\, 0\lt t \lt1, \end{array}
Archive | 2014
Seshadev Padhi; Smita Pati
Archive | 2014
Seshadev Padhi; Smita Pati
together with the boundary conditions x(0)=x′(0)=⋯=x(n−2)(0)=0,D0+βx(1)=∫01h(s,x(s))dA(s),
Archive | 2014
Seshadev Padhi; Smita Pati