Results 51 to 60 of about 8,417 (227)
Positive solutions for the one-dimensional Sturm-Liouville superlinear p-Laplacian problem
We prove the existence of positive classical solutions for the p-Laplacian problem $$\displaylines{ -(r(t)\phi (u'))'=f(t,u),\quad t\in (0,1), \cr au(0)-b\phi ^{-1}(r(0))u'(0)=0,\ cu(1)+d\phi ^{-1}(r(1))u'(1)=0, }$$ where $\phi (s)=|s|^{p-2}s$, $p ...
Khanh Duc Chu, Dang Dinh Hai
doaj
Triple solutions for a damped impulsive differential equation
In this paper, we aim to obtain the existence of at least three classical solutions for nonlinear impulsive problems neither adding superlinear or local sublinear conditions to nonlinear term at zero nor adding superlinear assumptions to nonlinear term ...
Jian Liu +3 more
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An Adaptive Multiple Shooting Strategy for Optimal Control
We study how multiple shooting affects the convergence of Newton‐type methods for optimal control, comparing several shooting strategies across 40 benchmark problems. The study covers interior‐point and sequential quadratic programming methods with both Quasi‐Newton approximations and exact Hessians.
Robert Lampel, Sebastian Sager
wiley +1 more source
Periodic second order superlinear Hamiltonian systems [PDF]
We consider periodic solutions for superlinear second order non-autonomous dynamical systems including both kinetic and potential terms.
Schechter, Martin
core +1 more source
Upper and lower solutions for a second-order three-point singular boundary-value problem
We study the singular boundary-value problem $$displaylines{ u''+ q(t)g(t,u)=0,quad t in (0,1),; eta in (0,1),;gamma >0cr u(0)=0, quad u(1)=gamma u(eta),.
Qiumei Zhang +3 more
doaj
Environmental pollution and water scarcity demand innovative purification methods. This study presents a sol‐gel approach to fabricate mixed silica–titania thin films joining photocatalytic activity with selective sorption capability. The films exhibit higher surface area, enhanced degradation of cationic and improved performance over bare titania ...
Andrea Lanfranchi +13 more
wiley +1 more source
By using critical point theory, we obtain a new sufficient condition on the existence of homoclinic solutions of a class of nonperiodic discrete nonlinear systems in infinite lattices. The classical Ambrosetti-Rabinowitz superlinear condition is improved
Genghong Lin, Zhan Zhou
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Liquid‐Processed 2D Aromatic Amorphous Carbon: Defect Engineering and Universal Transport Scaling
Liquid‐processed graphene oxide (GO) thin films undergo a controllable crystalline–to–amorphous transition driven by thermal quenching. By kinetically tuning oxygen‐driven defect formation during reduction, scalable 2D aromatic amorphous carbon phases are stabilized, directly linking nanoscale disorder and defect topology to electronic transport ...
Fabiola Liscio +22 more
wiley +1 more source
Infinitely Many Nontrivial Solutions of Resonant Cooperative Elliptic Systems with Superlinear Terms
We study a class of resonant cooperative elliptic systems and replace the Ambrosetti-Rabinowitz superlinear condition with general superlinear conditions.
Guanwei Chen, Shiwang Ma
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We show the existence of positive solutions for a singular superlinear fourth-order equation with nonlinear boundary conditions. u⁗x=λhxfux, x∈0,1,u0=u′0=0,u″1=0, u⁗1+cu1u1=0, where λ > 0 is a small positive parameter, f:0,∞⟶ℝ is continuous, superlinear ...
Dongliang Yan
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