Registered Data

[CT014]

  • Session Time & Room
    • CT014 (1/1) : 3C @G402 [Chair: Vijay Kumar Vyas]
  • Classification
    • CT014 (1/1) : Basic hypergeometric functions (33D) / Differential equations in abstract spaces (34G) / Ordinary differential equations (34-)

[00729] q-LAPLACE TRANSFORMS FOR THE PRODUCT OF BASIC ANALOGUE FOR H-FUNCTIONS FOR TWO VARIABLES AND THE GENERAL CLASS OF q-POLYNOMIALS

  • Session Time & Room : 3C (Aug.23, 13:20-15:00) @G402
  • Type : Contributed Talk
  • Abstract : The q-Laplace transforms for the product of basic analogue of H-function of two variables and the general class of q-polynomials has been evaluated in the present paper. Few cases of the main outcomes including the applications involving the basic analogues of Fox’s H-functions as well as general class of q-polynomial are also evaluated.
  • Classification : 33D60, 44A10, 44A20
  • Format : Talk at Waseda University
  • Author(s) :
    • Vijay Kumar Vyas (Sur University College,Oman)
    • Ali A. AL-JARRAH (Sur University College,Oman)

[02391] Null controllability of semilinear differential inclusion with nonlocal condition

  • Session Time & Room : 3C (Aug.23, 13:20-15:00) @G402
  • Type : Contributed Talk
  • Abstract : We discuss the null controllability of semilinear differential inclusion with the nonlocal condition using $L^p([0, a], U)$ control, where $U$ may be a separable Hilbert space or uniformly convex Banach space. Undoubtedly, exact controllability is much more beneficial than null controllability. But, null controllability plays its role in a system where exact controllability does not hold. Differential inclusion can properly define partial differential equations involving jump discontinuous functions.
  • Classification : 34G10
  • Format : Talk at Waseda University
  • Author(s) :
    • BHOLANATH KUMBHAKAR (DEPARTMENT OF MATHEMATICS, INDIAN INSTITUTE OF TECHNOLOGY ROORKEE)
    • DWIJENDRA NARAIN PANDEY (DEPARTMENT OF MATHEMATICS, INDIAN INSTITUTE OF TECHNOLOGY ROORKEE)

[00363] Neighborhood effects, college education, and social mobility

  • Session Time & Room : 3C (Aug.23, 13:20-15:00) @G402
  • Type : Contributed Talk
  • Abstract : This study models the impact of environmental factors on upward social mobility, where the educational environment is measured by the proportion of college-educated individuals, and social mobility is measured by a change in the proportion of people in different income classes. The dynamics of the educational environment are modeled using a modified version of the invasion/extinction ecological model of Richard Levins. The educational environment influences the educational choices of poor people, becoming effective only after a threshold point is reached. The rate of growth in influence is modeled using a monotonically increasing saturation function, which includes a delay parameter referred to as handling time, that measures the speed of influence. Our simulations indicate that poor people choose to become educated at a rate that primarily depends on the density of the local environment.
  • Classification : 34-11, 37N40, 92B05
  • Format : Online Talk on Zoom
  • Author(s) :
    • Cesar Montalvo (University of Virginia)

[01091] Nonlinear effects of neighborhood influence over college education, and social mobility

  • Session Time & Room : 3C (Aug.23, 13:20-15:00) @G402
  • Type : Industrial Contributed Talk
  • Abstract : This contagion-effect model studies the impact of environmental factors on upward social mobility, where the educational environment is measured by the proportion of college-educated individuals, and social mobility is measured by a change in the proportion of people in different income classes. The dynamics of the educational environment are modeled using a modified version of the invasion/extinction ecological model of Richard Levins. In addition, the model adapts a version of a SIR-type model to capture the nonlinear effects of the influence of the environment. The educational environment influences the educational choices of poor people, becoming effective only after a threshold point is reached. The growth rate in influence is modeled using a monotonically increasing saturation function, which includes a delay parameter referred to as handling time, that measures the speed of influence generated by educated, successful individuals. The simulations indicate that poor individuals choose to become educated at a rate that primarily depends on the density of educated people acting as role models in the local environment. (This research has been peer-reviewed, accepted, and published by the Socio-Economic Planning Sciences Journal under the name "Neighborhood effects, college education, and social mobility," and all the authors are aware of the submission. This research is expected to contribute to studying the nonlinear dynamical effects of changing environments over socio-economic outcomes).
  • Classification : 34-11, 37N40, 92B05
  • Author(s) :
    • Cesar Montalvo (University of Virginia)