Existence of positive solutions to singular -Laplacian general Dirichlet boundary value problems with sign changing nonlinearity.
Existence of positive solutions to some impulsive second-order integrodifferential equations.
Existence of positive solutions to vector boundary value problems. II.
Existence of positive solutions to vector boundary value problems. I.
Existence of pseudo-almost automorphic mild solutions to some nonautonomous partial evolution equations.
Existence of quasilinear relaxation shock profiles in systems with characteristic velocities
We revisit the existence problem for shock profiles in quasilinear relaxation systems in the case that the velocity is a characteristic mode, implying that the profile ODE is degenerate. Our result states existence, with sharp rates of decay and distance from the Chapman–Enskog approximation, of small-amplitude quasilinear relaxation shocks. Our method of analysis follows the general approach used by Métivier and Zumbrun in the semilinear case, based on Chapman–Enskog expansion and the macro–micro...
Existence of regularly and rapidly varying solutions for a class of third order nonlinear ordinary differential equations.
Existence of -almost periodic solutions to a class of nonautonomous stochastic evolution equations.
Existence of solution and positive solution for a nonlinear third-order -point BVP.
Existence of solution for a mixed neutral system.
Existence of solution for third order m-point boundary value problem.
Existence of solution to nonlinear boundary value problem for ordinary differential equation of the second order in Hilbert space
In this paper we deal with the boundary value problem in the Hilbert space. Existence of a solutions is proved by using the method of lower and upper solutions. It is not necessary to suppose that the homogeneous problem has only the trivial solution. We use some results from functional analysis, especially the fixed-point theorem in the Banach space with a cone (Theorem 4.1, [5]).
Existence of solutions and approximate controllability of impulsive fractional stochastic differential systems with infinite delay and Poisson jumps
The paper is motivated by the study of interesting models from economics and the natural sciences where the underlying randomness contains jumps. Stochastic differential equations with Poisson jumps have become very popular in modeling the phenomena arising in the field of financial mathematics, where the jump processes are widely used to describe the asset and commodity price dynamics. This paper addresses the issue of approximate controllability of impulsive fractional stochastic differential...
Existence of solutions and controllability of nonlinear integro-differential systems in Banach spaces.
Existence of solutions and convergence results for dynamic initial value problems using lower and upper solutions.
Existence of solutions and nonnegative solutions for prescribed variable exponent mean curvature impulsive system initialized boundary value problems.
Existence of solutions and of multiple solutions for nonlinear nonsmooth periodic systems
In this paper we examine nonlinear periodic systems driven by the vectorial -Laplacian and with a nondifferentiable, locally Lipschitz nonlinearity. Our approach is based on the nonsmooth critical point theory and uses the subdifferential theory for locally Lipschitz functions. We prove existence and multiplicity results for the “sublinear” problem. For the semilinear problem (i.e. ) using a nonsmooth multidimensional version of the Ambrosetti-Rabinowitz condition, we prove an existence theorem...
Existence of solutions for a certain differential inclusion of third order.
Existence of solutions for a class of boundary value problems for the equation
Existence of solutions for a class of damped vibration problems on time scales.