KIEV, Ukraine (AP) — Russian President Vladimir Putin asked parliament Saturday for permission to use the country's military in Ukraine, moving to formalize troop deployments that Ukrainian officials have described as an ongoing invasion of the strategic region of Crimea.

Putin's motion loosely refers to the "territory of Ukraine" rather than specifically to Crimea, raising the possibility that Moscow could use military force in other Russian-speaking provinces in eastern and southern Ukraine where many oppose the new authorities in Kiev. Pro-Russian protests were reported in the eastern cities of Kharkiv, Donetsk and Odessa.

Ukrainian officials and some Western diplomats said that a Russian military intervention is already well underway after heavily armed gunmen in unmarked military uniforms seized control of local government buildings, airports and other strategic facilities in Crimea in recent days.

Ignoring President Barack Obama's warning Friday that "there will be costs" if Russia intervenes militarily, Putin said the "extraordinary situation in Ukraine" was putting at risk the lives of Russian citizens and military personnel stationed at a naval base that Moscow has maintained in the Black Sea peninsula since the Soviet collapse.

"I'm submitting a request for using the armed forces of the Russian Federation on the territory of Ukraine pending the normalization of the socio-political situation in that country," Putin said in a statement released by the Kremlin.

Putin sent the request to the Russian legislature's upper house, which was expected to rubber-stamp it in a vote Saturday.

In Crimea, the pro-Russian prime minister who took office after gunmen seized the regional Parliament claimed control of the military and police there and asked Putin for help in keeping peace, sharpening the discord between the two neighboring Slavic countries.

Ukraine's acting president Oleksandr Turchynov said the election of the election of Sergei Aksyonov as prime minister of Crimea was invalid.

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It was the latest escalation following the ouster of Ukraine's pro-Russian president last week by a protest movement aimed at turning Ukraine toward the European Union and away from Russia.

Ukraine has accused Russia of a "military invasion and occupation" — a claim that brought an alarming new dimension to the crisis, and raised fears that Moscow is moving to intervene on the strategic peninsula where Russia's Black Sea fleet is based.

Ukraine's population is divided in loyalties between Russia and Europe, with much of western Ukraine advocating closer ties with the European Union while eastern and southern regions look to Russia for support. Crimea, a semi-autonomous region of Ukraine, is mainly Russian-speaking.

Ukrainian Prime Minister Arseny Yatsenyuk opened a Cabinet meeting in the capital, Kiev, by calling on Russia not to provoke discord in Crimea.

"We call on the government and authorities of Russia to recall their forces, and to return them to their stations," Yatsenyuk was quoted as saying by the Interfax news agency. "Russian partners, stop provoking civil and military resistance in Ukraine."

Russia put pressure on Ukraine from another direction when a spokesman for state gas company Gazprom said that Ukraine owed $1.59 billion in overdue bills for imported gas. Sergei Kuprianov was quoted by the RIA-Novosti agency as saying the gas arrears would endanger a recent discount granted by Russia. The discount lowered the price to $268.50 per thousand from other $400. The Russian payment demand and loss of the discount would accelerate Ukraine's financial crisis. The county is almost broke and seeking emergency credit from the International Monetary Fund.

Crimea only became part of Ukraine in 1954 when Soviet leader Nikita Khrushchev transferred jurisdiction from Russia, a move that was a mere formality when both Ukraine and Russia were part of the Soviet Union. The Soviet breakup in 1991 meant Crimea landed in an independent Ukraine.

Russia has taken a confrontational stance toward its southern neighbor after pro-Russian President Viktor Yanukovych fled the country. Yanukovych was voted out of office by parliament after weeks of protests ended in violence that left over 80 people dead.

Demonstrators sought his resignation after he backed out of signing an agreement to bring Ukraine closer to the European Union instead of Russia. Yanukovych took refuge in Russia and still says he's president.

Aksyonov, the Crimea leader, appealed to Putin "for assistance in guaranteeing peace and calmness on the territory of the autonomous republic of Crimea." Aksyonov was voted in by the Crimean parliament on Thursday after pro-Russia gunmen seized the building and as tensions soared over Crimea's resistance to the new authorities in Kiev, who took office this week.

Obama called on Russia to respect the independence and territory of Ukraine and not try to take advantage of its neighbor, which is undergoing political upheaval.

He said such action by Russia would represent a "profound interference" in matters he said must be decided by the Ukrainian people.

"The United States will stand with the international community in affirming that there will be costs for any military intervention in Ukraine," he said. He did not say what those costs might be.

Swedish Foreign Minister Carl Bildt wrote on Twitter that it was "obvious that there is Russian military intervention in Ukraine. Likely immediate aim is to set up puppet pro-Russian semi-state in Crimea."

At the United Nations, the Ukrainian ambassador, Yuriy Sergeyev, said Friday that Russian transport aircraft and 11 attack helicopters had arrived in Crimea illegally, and that Russian troops had taken control of two airports in Crimea.

He described the gunmen posted outside the two airports as Russian armed forces as well as "unspecified" units.

Russia has kept silent on claims of military intervention and has said any troop movements are within agreed rules, even as it maintained its hard-line stance on protecting ethnic Russians in Crimea.

Meanwhile, flights remained halted from Simferopol's airport. Dozens of armed men in military uniforms without markings patrolled the area. They didn't stop or search people leaving or entering the airport, and refused to talk to journalists.

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Vladimir Isachenkov reported from Moscow.