AbstractSufficient conditions are given so that all solutions of the nonlinear differential equation u″ + φ(t, u, u′)u′ + p(t) gf(u) g(u′) = h(t, u, u′) are continuable to the right of an initial t-value t0 ⩾ 0. These conditions are then extended so that all solutions u of the equation in question together with their derivative u′ are bounded for t ⩾ t0
summary:In this paper, we shall give sufficient conditions for the ultimate boundedness of solutions...
AbstractIn this paper, we investigate properties of the solutions of a class of second-order nonline...
We prove Landesman–Lazer type existence conditions for the solutions bounded on the real line, toget...
AbstractSufficient conditions are given so that all solutions of the nonlinear differential equation...
AbstractConsider the second-order nonlinear differential systemẋ=1axhy−Fx,ẏ=−axgx−et,where a is a ...
We establish sufficient conditions under which all solutions of the third-order nonlinear differenti...
AbstractWe consider the nonlinear oscillating equation ẍ + f(x) h(x)x + g(x)k(x) = 0 without the co...
We consider a nonlinear elliptic equation of the form div [a(∇u)] + F[u] = 0 o...
Continuability, boundedness, and monotonicity of solutions for a class of second-order nonlinear di...
We consider a nonlinear elliptic equation of the form div [a(∇u)] + F[u] = 0 o...
We consider the analytic continuation of solutions to the nonlinear partial differential equation ( ...
We give criteria for the asymptotic stability and boundedness of solutions to the nonlinear fourth-o...
AbstractNon-continuability of solutions of ordinary differential equations on ¦t0, ∞) is investigate...
AbstractWe consider the analytic continuation of solutions to the nonlinear partial differential equ...
AbstractConsider the third-order nonlinear differential equation x‴+ψ(x,x′)x″+f(x,x′)=p(t), where ψ,...
summary:In this paper, we shall give sufficient conditions for the ultimate boundedness of solutions...
AbstractIn this paper, we investigate properties of the solutions of a class of second-order nonline...
We prove Landesman–Lazer type existence conditions for the solutions bounded on the real line, toget...
AbstractSufficient conditions are given so that all solutions of the nonlinear differential equation...
AbstractConsider the second-order nonlinear differential systemẋ=1axhy−Fx,ẏ=−axgx−et,where a is a ...
We establish sufficient conditions under which all solutions of the third-order nonlinear differenti...
AbstractWe consider the nonlinear oscillating equation ẍ + f(x) h(x)x + g(x)k(x) = 0 without the co...
We consider a nonlinear elliptic equation of the form div [a(∇u)] + F[u] = 0 o...
Continuability, boundedness, and monotonicity of solutions for a class of second-order nonlinear di...
We consider a nonlinear elliptic equation of the form div [a(∇u)] + F[u] = 0 o...
We consider the analytic continuation of solutions to the nonlinear partial differential equation ( ...
We give criteria for the asymptotic stability and boundedness of solutions to the nonlinear fourth-o...
AbstractNon-continuability of solutions of ordinary differential equations on ¦t0, ∞) is investigate...
AbstractWe consider the analytic continuation of solutions to the nonlinear partial differential equ...
AbstractConsider the third-order nonlinear differential equation x‴+ψ(x,x′)x″+f(x,x′)=p(t), where ψ,...
summary:In this paper, we shall give sufficient conditions for the ultimate boundedness of solutions...
AbstractIn this paper, we investigate properties of the solutions of a class of second-order nonline...
We prove Landesman–Lazer type existence conditions for the solutions bounded on the real line, toget...