A global existence theorem for Smoluchowski’s coagulation equations

Existence of Solutions for some Nonlinear Volterra Integral Equations via Petryshyn's Fixed Point Theorem

In this paper, we study the existence of solutions of some nonlinear Volterra integral equations by using the techniques of measures of noncompactness and the Petryshyn's fixed point theorem in Banach space. We also present some examples of the integral equation to confirm the efficiency of our results.

A Global Existence Theorem for Some Differential Equations in Hilbert Spaces.

5 Manning, A., Animal Behaviour, 9, 82-92 (1961). 6 Ibid., 11, 116-120 (1963). 7Ewing, A. W., Animal Behaviour, 9, 93-99 (1961). 8Ibid., 11, 369-378 (1963). 'Pearce, S., Animal Behaviour, 8, 232 (1960), and unpublished. "Brncic, D., and S. Koref-Santibanez, Genetics, 49, 585-591 (1964). 11 Caspari, E., in Behavior and Evolution, ed. A. Roe and G. G. Simpson (New Haven: Yale, 1958), pp. 103-127....

A Unified Existence and Uniqueness Theorem for Stochastic Evolution Equations

An existence and uniqueness theorem for mild solutions of stochastic evolution equations is presented and proved. The diffusion coefficient is handled in a unified way which allows a unified theorem to be formulated for different cases, in particular, of multiplicative space–time white noise and trace-class noise. 2000 Mathematics subject classification: primary 60H15; secondary 35K90.

Global Existence for Quasilinear Dispersive Equations

Global Existence for Quasilinear Dispersive Equations Ii

is invertible. Here we treat the case of inputs coming from free waves located far away from the origin. In order to simplify the presentation, we will only consider inputs that would have come from our first guess (that is |x|f is bounded in L). Hence, we now consider the case when at least one function f or g is supported away from the origin and assume that for all y1 in the support of f and...